Are Calquto's math calculators free to use?

Yes. All 117+ calculators in the Mathematics suite are free, run entirely in your browser, and don't require sign-up. Nothing you enter is stored or sent anywhere.

Do the calculators show step-by-step working, not just the answer?

Yes. Every calculator in the suite shows the full worked solution alongside the final answer, so you can see exactly how the result was reached — useful for checking homework or understanding the method, not just getting a number.

What areas of math does this suite cover?

Arithmetic, algebra, geometry (2D and 3D), trigonometry, calculus, linear algebra, statistics and probability, number theory, combinatorics, and complex numbers — 117 calculators across 11 categories.

Math Calculators: Percentage, Quadratic, GCD/LCM, Circle, Slope, Statistics & 100+ More

Full Directory: All 117 Mathematics Calculators

Every calculator below opens instantly in the suite above with full step-by-step working. Browse by category or use the search box to jump straight to one.

Arithmetic & Number Basics (14)

GCD & LCM Calculator — Greatest common divisor and least common multiple of two numbers, using the Euclidean algorithm.
Prime Number Checker — Checks whether a number is prime by trial division up to its square root.
Prime Factorization Calculator — Breaks a number down into its prime factors, one division at a time.
Divisors & Factor Pairs Calculator — Lists every divisor of a number and pairs them up to show factor pairs.
Fraction Simplifier — Reduces any fraction to its lowest terms using the greatest common divisor.
Fraction Operations Calculator — Add, subtract, multiply, or divide two fractions, with the result simplified.
Decimal ↔ Fraction Converter — Convert a decimal to its simplest fraction form, or a fraction to decimal.
Ratio Simplifier — Simplifies a ratio of two or three numbers to its lowest terms.
Percentage Calculator — Three common percentage problems: X% of Y, X is what % of Y, and percentage change.
Roman Numeral Converter — Convert between Roman numerals and standard (Arabic) numbers.
Number Base Converter — Convert a number between binary, octal, decimal, and hexadecimal.
Scientific Notation Converter — Convert any number to and from scientific (standard index) notation.
Significant Figures & Rounding Tool — Round a number to a chosen number of significant figures or decimal places.
Long Division Calculator — Divides two whole numbers and shows the quotient and remainder.

Algebra (14)

Linear Equation Solver — Solves ax + b = cx + d for x, showing every algebraic step.
Quadratic Equation Solver — Solves ax² + bx + c = 0 using the quadratic formula, including complex roots.
Cubic Equation Solver — Finds all real roots of ax³ + bx² + cx + d = 0 numerically.
2-Variable Linear System Solver — Solves a system of two linear equations using Cramer\u2019s rule.
3-Variable Linear System Solver — Solves a system of three linear equations in x, y, z using Cramer\u2019s rule.
Polynomial Evaluator — Evaluates a polynomial at a given x using Horner\u2019s method.
Polynomial Root Finder — Numerically finds real roots of a polynomial of any degree by scanning for sign changes.
Quadratic Factoring Helper — Attempts to factor ax² + bx + c into two binomials with integer or simple roots.
Exponent Calculator — Computes a^b and shows the exponent rule used for negative or fractional exponents.
Logarithm Calculator — Computes log base b of x, using the change-of-base formula.
Absolute Value Equation Solver — Solves |ax + b| = c for x.
Linear Inequality Solver — Solves ax + b (<, ≤, >, ≥) c for x, tracking sign flips when dividing by a negative.
Arithmetic Sequence Calculator — Finds the nth term and the sum of the first n terms of an arithmetic sequence.
Geometric Sequence Calculator — Finds the nth term and the sum of the first n terms of a geometric sequence.

Geometry — 2D (14)

Circle Calculator — Area, circumference, and diameter of a circle from its radius.
Triangle Area Calculator — Area from base & height, or from all three sides using Heron\u2019s formula.
Right Triangle Solver — Finds the missing side (hypotenuse or leg) using the Pythagorean theorem.
Square Calculator — Area, perimeter, and diagonal of a square from its side length.
Rectangle Calculator — Area, perimeter, and diagonal of a rectangle.
Parallelogram Calculator — Area and perimeter of a parallelogram from base, side, and height.
Trapezoid Calculator — Area of a trapezoid from its two parallel sides and height.
Rhombus Calculator — Area and perimeter of a rhombus from its diagonals and side length.
Regular Polygon Calculator — Area, perimeter, and interior angle of any regular n-sided polygon.
Ellipse Area & Perimeter Calculator — Area (exact) and perimeter (Ramanujan\u2019s approximation) of an ellipse.
Circle Sector & Arc Length Calculator — Area and arc length of a circular sector given radius and central angle.
Distance Between Two Points — Straight-line distance between two (x, y) coordinates.
Midpoint Calculator — Finds the midpoint between two (x, y) coordinates.
Slope & Line Equation Calculator — Slope, y-intercept, and full equation of the line through two points.

Geometry — 3D (10)

Sphere Calculator — Volume and surface area of a sphere from its radius.
Cylinder Calculator — Volume and surface area of a cylinder from radius and height.
Cone Calculator — Volume, slant height, and surface area of a cone.
Cube Calculator — Volume, surface area, and diagonal of a cube from its edge length.
Rectangular Prism (Cuboid) Calculator — Volume, surface area, and diagonal of a rectangular box.
Pyramid Calculator — Volume and surface area of a square-based pyramid.
Torus Calculator — Volume and surface area of a torus (donut shape) from its two radii.
Hemisphere Calculator — Volume and surface area of a hemisphere (half a sphere).
Conical Frustum Calculator — Volume and surface area of a truncated cone (frustum).
Triangular Prism Calculator — Volume and surface area of a triangular prism.

Trigonometry (10)

Trigonometric Ratio Calculator — Computes sin, cos, tan, csc, sec, and cot of any angle.
Right Triangle Trigonometry Solver — Given one side and one angle, solves the rest of a right triangle.
Law of Sines Calculator — Finds a missing side or angle using the Law of Sines (given two angles and one side).
Law of Cosines Calculator — Finds the third side of a triangle given two sides and the included angle.
Degrees ↔ Radians Converter — Convert an angle between degrees and radians.
Inverse Trigonometric Function Calculator — Computes arcsin, arccos, or arctan of a value.
Sinusoidal Function Analyzer — Finds amplitude, period, frequency, and phase shift of y = A·sin(Bx + C) + D.
Bearing / Heading Calculator — Compass bearing and distance from one point to another.
Angle Sum & Difference Identity Calculator — Computes sin/cos of (A+B) and (A−B) using the sum and difference identities.
Unit Circle Point Finder — Finds the (x, y) coordinates on the unit circle for a given angle.

Calculus (12)

Numerical Derivative Calculator — Estimates f\u2019(x) at a point using the central-difference method.
Definite Integral Calculator — Numerically evaluates ∫f(x)dx from a to b using Simpson\u2019s rule.
Limit Evaluator — Numerically estimates the limit of f(x) as x approaches a value.
Tangent Line Equation Calculator — Finds the equation of the tangent line to f(x) at a given point.
Average Rate of Change (Secant Slope) Calculator — Computes the average rate of change of f(x) between two x-values.
Newton\u2019s Method Root Finder — Finds a root of f(x) = 0 iteratively using Newton\u2019s method.
Riemann Sum Calculator — Approximates ∫f(x)dx using left, right, or midpoint Riemann sums.
Taylor Series Approximation — Approximates eˣ, sin(x), or cos(x) using a Taylor series expansion around 0.
Arc Length of a Curve Calculator — Numerically finds the arc length of y=f(x) between two x-values.
Partial Derivative Calculator — Estimates ∂f/∂x and ∂f/∂y of a two-variable function at a point.
Gradient Vector Calculator — Computes the gradient vector ∇f = (∂f/∂x, ∂f/∂y) of a two-variable function at a point.
Critical Point Finder — Scans f(x) for points where f\u2019(x) ≈ 0 (local minima/maxima candidates).

Linear Algebra (10)

2×2 Matrix Determinant & Inverse Calculator — Determinant and inverse of a 2×2 matrix.
3×3 Matrix Determinant Calculator — Determinant of a 3×3 matrix using cofactor expansion.
Matrix Addition/Subtraction Calculator (2×2) — Adds or subtracts two 2×2 matrices element by element.
Matrix Multiplication Calculator (2×2) — Multiplies two 2×2 matrices, showing the row-by-column dot products.
Matrix Transpose Calculator (2×3) — Flips a 2×3 matrix over its diagonal to produce a 3×2 transpose.
Vector Dot Product Calculator — Dot product and angle between two vectors.
Vector Cross Product Calculator (3D) — Cross product of two 3D vectors, resulting in a perpendicular vector.
Vector Magnitude & Unit Vector Calculator — Magnitude and normalized (unit) vector for a 3D vector.
Vector Projection Calculator — Projects vector A onto vector B.
Cramer\u2019s Rule Solver (2×2) — Solves a 2-equation system using Cramer\u2019s rule, showing every determinant.

Statistics & Probability (14)

Descriptive Statistics Calculator — Mean, median, mode, range, variance, and standard deviation of a data set.
Basic Probability Calculator — Probability of an event from favorable and total outcomes.
Permutations & Combinations Calculator — Computes nPr (permutations) and nCr (combinations) of n items taken r at a time.
Binomial Probability Calculator — Probability of exactly k successes in n independent trials.
Normal Distribution (Z-score & Probability) Calculator — Converts a value to a z-score and finds the cumulative probability P(X ≤ x).
Confidence Interval for the Mean Calculator — Builds a confidence interval for a population mean using the normal approximation.
Correlation Coefficient (Pearson\u2019s r) Calculator — Measures the strength and direction of the linear relationship between two data sets.
Linear Regression (Least Squares) Calculator — Fits a best-fit line y = mx + b to a set of data points.
Expected Value Calculator — Expected value of a discrete random variable from outcomes and probabilities.
Poisson Probability Calculator — Probability of exactly k events occurring given an average rate λ.
Bayes\u2019 Theorem Calculator — Computes the posterior probability P(A|B) from prior and conditional probabilities.
Quartiles & Five-Number Summary Calculator — Q1, median, Q3, IQR, and outlier boundaries for a data set.
Z-Score Calculator — Standardizes a raw score relative to the mean and standard deviation.
Standard Error of the Mean Calculator — Estimates how much a sample mean is expected to vary from the true population mean.

Number Theory (8)

Modular Arithmetic Calculator — Computes a mod n, and a^b mod n using fast modular exponentiation.
Modular Multiplicative Inverse Calculator — Finds x such that a×x ≡ 1 (mod n), using the extended Euclidean algorithm.
Euler\u2019s Totient Function Calculator — Counts how many integers from 1 to n are coprime to n.
Fibonacci Sequence Generator — Generates the Fibonacci sequence up to the nth term.
Perfect Number Checker — Checks whether a number equals the sum of its proper divisors.
Divisor Sum & Count (Sigma Function) Calculator — Counts and sums all divisors of a number (including itself).
Collatz Conjecture Sequence Generator — Generates the Collatz sequence for a starting number until it reaches 1.
Palindromic Number Checker — Checks whether a number reads the same forwards and backwards.

Combinatorics & Discrete Math (7)

Pascal\u2019s Triangle Row Generator — Generates a row of Pascal\u2019s Triangle — the binomial coefficients C(n,k).
Binomial Expansion Calculator — Expands (x + y)ⁿ using the binomial theorem, showing each term\u2019s coefficient.
Set Operations Calculator — Union, intersection, and difference of two sets.
Logic Truth Table Generator — Generates a truth table for AND, OR, XOR, NAND, or implication of two variables.
Catalan Number Calculator — Computes the nth Catalan number, used for counting balanced structures like valid parentheses.
Derangement Counter — Counts permutations where no element appears in its original position.
Combinations with Repetition Calculator — Counts ways to choose r items from n types, with repetition allowed.

Complex Numbers (4)

Complex Number Arithmetic Calculator — Add, subtract, multiply, or divide two complex numbers.
Complex Number ↔ Polar Form Converter — Convert a complex number between rectangular (a+bi) and polar (r∠θ) form.
De Moivre\u2019s Theorem Calculator — Computes (r∠θ)ⁿ using De Moivre\u2019s theorem.
Complex Modulus & Argument Calculator — Finds the absolute value (modulus) and argument (angle) of a complex number.