Free Math Calculators With Steps
These free math calculators solve common homework and everyday problems and show each step, so the method can be checked and learned rather than just copied. They cover number theory (factors, LCM, GCF), statistics (mean, median, mode, standard deviation), algebra (quadratic formula), geometry (area) and conversions.
All 12 math tools
Factor Calculator
Free factor calculator: list every factor of any number up to one trillion, see the factor pairs, the prime factorization with exponents and whether it is prime.
🔁LCM Calculator
Free LCM calculator: find the least common multiple of two or more numbers with the prime factorization and listing-multiples methods shown step by step.
🧩GCF Calculator
Free GCF calculator: find the greatest common factor (also called GCD or HCF) of two or more numbers by the Euclidean algorithm and prime factorization, with steps.
📊Average Calculator
Free average calculator: paste a list of numbers to get the mean, median, mode, range, sum and standard deviation, with the sum-divided-by-count arithmetic shown.
📉Mean, Median, Mode Calculator
Free mean, median and mode calculator: enter a data set to get all three averages plus range, variance and standard deviation, with the middle value highlighted.
📐Quadratic Formula Calculator
Free quadratic formula calculator: enter a, b and c to solve ax² + bx + c = 0 with real or complex roots, the discriminant, vertex and every step shown.
📏Area Calculator
Free area calculator for rectangles, squares, triangles, circles, ellipses, trapezoids, parallelograms, sectors and polygons, in inches, feet, yards, cm or m.
🌡️Celsius to Fahrenheit Converter
Convert Celsius to Fahrenheit (and Fahrenheit to Celsius or Kelvin) instantly, with the formula worked out, a quick mental-math trick and a reference chart.
½Decimal to Fraction Calculator
Free decimal to fraction calculator: convert any decimal, including repeating decimals like 0.333…, to a fraction in simplest form and a mixed number, with steps.
⚖️Ratio Calculator
Free ratio calculator: solve A:B = C:D for the missing value, simplify a ratio to lowest terms, scale it up or down, or split a total in a given ratio, with steps.
📊Standard Deviation Calculator
Free standard deviation calculator: paste your numbers to get the sample or population standard deviation, variance, mean and a step-by-step deviation table.
🔬Scientific Notation Calculator
Free scientific notation calculator: convert to and from scientific, E and engineering notation, round to sig figs, and add, subtract, multiply or divide.
Math guides
All guides →How to find standard deviation: subtract the mean from each value, square, add, divide by n (population) or n − 1 (sample), then take the square root.
How to convert Celsius to Fahrenheit: multiply by 9/5 (1.8) and add 32. Includes the reverse formula, a mental shortcut with its error, and a conversion chart.
Math terms explained
Glossary →- Greatest Common Factor (GCF)
- The greatest common factor (GCF) of two or more positive integers is the largest whole number that divides each of them with no remainder; it is also called the GCD or HCF.
- Least Common Multiple (LCM)
- The least common multiple (LCM) of two or more positive integers is the smallest positive number that each of them divides into evenly; it gives the lowest common denominator.
- Standard Deviation
- Standard deviation is a measure of spread equal to the square root of the variance; it shows how far values typically fall from the mean, in the same units as the data.
- Variance
- Variance is a measure of spread equal to the average squared distance of values from their mean; its square root is the standard deviation, and it is expressed in squared units.
Frequently asked questions
Do the math calculators show the steps?
Yes. Wherever a method has steps, such as prime factorization for the GCF or deviations from the mean for standard deviation, the working is shown below the answer.
What is the difference between sample and population standard deviation?
Population standard deviation divides the sum of squared deviations by n; sample standard deviation divides by n − 1 to correct for estimating the mean from the same data. The standard deviation calculator shows both.
Can I use these calculators on a phone?
Yes. Every calculator works on phones, tablets and computers without installing anything.