Fractions, ratios, roots, logs, and number theory calculators. Browse our free math tools below — all calculators are instant, accurate, and require no sign-up.
Absolute Value Calculator — Calculate the absolute value of any number. Find the distance from zero, solve absolute value equations, and understand |x| notation. Free calculator.
Combination Calculator — Calculate combinations C(n, r) — the number of ways to choose r items from n without regard to order. Free online nCr calculator.
Cube Root Calculator — Calculate the cube root of any number, including negatives. Find the value that when cubed gives the original number. Free ∛ calculator online.
Decimal to Fraction Converter — Convert any decimal number to a simplified fraction. Handles terminating and repeating decimals with GCD reduction for the simplest form.
Exponent Calculator — Calculate any base raised to any exponent (power). Compute base^exponent instantly for integers, decimals, and negative exponents. Free power calculator.
Fraction Calculator — Perform addition, subtraction, multiplication, and division on fractions. Get simplified results using GCD. Free online fraction arithmetic tool.
Factorial Calculator — Calculate the factorial of any non-negative integer (n!). See step-by-step multiplication and related values. Free online factorial calculator.
GCD Calculator — Calculate the Greatest Common Divisor (GCD) of two or more numbers using the Euclidean algorithm. Also known as GCF or HCF. Free online GCD tool.
Fraction to Decimal Converter — Convert any fraction to its decimal equivalent by dividing the numerator by the denominator. Handles proper, improper, and mixed fractions instantly.
Logarithm Calculator — Calculate logarithms of any base. Compute log_b(x) = ln(x)/ln(b) for common, natural, and custom base logarithms. Free online log calculator.
LCM Calculator — Calculate the Least Common Multiple (LCM) of two numbers using the GCD method. Formula: LCM(a,b) = |a×b| / GCD(a,b). Free online LCM tool.
Nth Root Calculator — Calculate any nth root of a number. Find the value that when raised to the nth power gives the original number. Supports any root index.
Modular Arithmetic Calculator — Calculate modular arithmetic operations: a mod n, modular addition, subtraction, multiplication, and exponentiation. Free online modulo calculator.
Number Base Converter — Convert numbers between binary, octal, decimal, and hexadecimal. Supports bases 2 through 36. Free online base conversion calculator.
Permutation Calculator — Calculate permutations P(n, r) — the number of ordered arrangements of r items from n. Free online nPr calculator.
Prime Number Checker — Check if any number is prime using trial division up to its square root. Instantly determine primality and see the smallest factor if composite.
Prime Factorization Calculator — Find the prime factorization of any positive integer. Breaks down numbers into their prime factors using trial division. Free online prime factor tool.
Proportion Solver — Solve any proportion a/b = c/d for the missing value using cross-multiplication. Enter three values and find the fourth instantly.
Ratio Calculator — Simplify ratios using GCD and solve proportions like a:b = c:?. Free online ratio simplifier and proportion solver for math, cooking, and design.
Roman Numeral Converter — Convert between Roman numerals and decimal numbers. Supports values from 1 to 3,999. Free online Roman numeral converter and calculator.
Rounding Calculator — Round numbers to any decimal place, whole number, or significant figure. Supports round half up, half down, half even, ceiling, and floor modes.
Scale Ratio Calculator — Convert between drawing/model measurements and actual dimensions using scale ratios. Calculate actual size from scale measurements instantly.
Scientific Notation Converter — Convert numbers to and from scientific notation. Transform large or small numbers into a × 10^n format. Free online scientific notation calculator.
Square Root Calculator — Calculate the square root of any number. Supports positive numbers, perfect squares detection, and decimal precision. Free online √ calculator.
Significant Figures Calculator — Count significant figures and round numbers to a specified number of sig figs. Understand precision rules with this free online calculator.