🧮 Math and Statistics Calculators
24 free math and statistics calculators. Ratios, fractions, averages, factors, rounding, quadratics and probability.
- Ratio CalculatorSimplify a ratio, solve for a missing value in A : B = C : D, or split a total in a given ratio. Works with whole numbers and decimals.
- Proportion CalculatorSolve a proportion a/b = c/d for the missing value by cross-multiplication. Enter any three of the four numbers.
- Factor CalculatorFind all factors of a number, its factor pairs and its prime factorization. Also tells you whether the number is prime.
- GCF Calculator (Greatest Common Factor)Find the greatest common factor of two or more numbers, with the Euclidean algorithm steps and prime factorizations. Also gives the LCM.
- LCM Calculator (Least Common Multiple)Find the least common multiple of two or more numbers, with prime factorizations. Also gives the greatest common factor.
- Rounding CalculatorRound a number to the nearest whole number, tenth, hundredth, thousandth, ten, hundred or thousand. Exact decimal rounding with no floating point errors.
- Significant Figures CalculatorCount the significant figures in a number and round it to any number of significant figures, with scientific notation.
- Modulo CalculatorCalculate a mod n, the remainder after division, with the quotient. Handles negative numbers under both the mathematical and programming conventions.
- Long Division CalculatorDivide whole numbers and see every step of the long division, with the quotient, remainder, mixed number and decimal answer.
- Fraction CalculatorAdd, subtract, multiply and divide fractions and mixed numbers. The answer is simplified and shown as a fraction, a mixed number and a decimal.
- Simplify Fractions CalculatorReduce a fraction to its lowest terms and convert an improper fraction to a mixed number, with the greatest common factor used.
- Decimal to Fraction CalculatorConvert a decimal to a fraction in lowest terms, or a fraction to a decimal. Exact conversion for terminating decimals.
- Exponent CalculatorRaise a number to any power, including negative and fractional exponents. Gives exact answers for whole numbers and scientific notation for large results.
- Quadratic Formula CalculatorSolve ax² + bx + c = 0 with the quadratic formula. Gives real or complex roots, the discriminant, the vertex and the steps.
- Pythagorean Theorem CalculatorFind the missing side of a right triangle with the Pythagorean theorem. Also gives the area, perimeter and both acute angles.
- Slope CalculatorFind the slope, angle, percent grade, distance and midpoint between two points, and the equation of the line through them.
- Speed Distance Time CalculatorCalculate speed, distance or time from the other two. Works in mph, km/h, m/s and knots with any mix of units.
- Average CalculatorCalculate the average (mean) of a list of numbers, with the sum, count, median, mode, range and geometric mean.
- Median, Mode and Quartile CalculatorFind the median, mode, range, quartiles and interquartile range of a data set, with outlier fences and the sorted list.
- Standard Deviation and Variance CalculatorCalculate sample and population standard deviation and variance for a data set, with the mean, sum of squares and standard error.
- Weighted Average CalculatorCalculate a weighted average from values and their weights. Useful for grades, prices, ratings and any data where items count unequally.
- Z-Score CalculatorCalculate a z-score from a value, mean and standard deviation, with the percentile and the normal distribution probabilities above, below and between.
- Permutation and Combination CalculatorCalculate permutations (nPr) and combinations (nCr), with and without repetition, and factorials. Exact results for large numbers.
- Sample Size CalculatorCalculate the survey sample size needed for a given confidence level and margin of error, with an optional finite population correction.
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