Algebra & Numbers Calculators
Solve percentages, fractions, quadratics, exponents and factors with full steps.
Updated June 2026 · Free · No sign-up
This cluster handles the core of school and competitive-exam arithmetic and algebra, from everyday percentages to solving equations and breaking numbers down into their factors. It includes the Percentage, Fraction and Ratio calculators for number sense, plus the Quadratic Formula, Exponent and Logarithm calculators for algebra.
For number theory and divisibility, the GCF, LCM, Factor and Prime Factorization calculators show the prime-factor working behind each result, while the Square Root, Scientific Notation and Number Sequence tools cover roots, very large or small numbers, and arithmetic and geometric progressions. Each calculator displays the steps so it doubles as a way to learn the method, not just the answer.
All Algebra & Numbers Calculators
Percentage Calculator
Calculate percentages three ways: what is X% of Y, X is what % of Y, and % change.
Fraction Calculator
Add, subtract, multiply, and divide fractions and mixed numbers with step-by-step solution.
Ratio Calculator
Simplify ratios, find equivalent ratios, and solve ratio word problems.
Quadratic Calculator
Solve quadratic equations ax² + bx + c = 0 with step-by-step solution.
Exponent Calculator
Calculate powers and exponents including negative exponents and fractional powers.
Logarithm Calculator
Calculate log base 10, natural log (ln), and any custom base logarithm.
Square Root Calculator
Calculate square root, cube root, and nth root of any number.
Factor Calculator
Find all factors of any number, identify prime factors, and check primality.
GCF Calculator
Calculate the Greatest Common Factor of two or more numbers with prime factorization steps.
Common Factors Calculator
Find all common factors between two or more numbers, including the Greatest Common Factor.
LCM / GCF Calculator
Calculate the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of numbers.
Prime Factorization Calculator
Find the prime factorization of any number with step-by-step factor tree.
Scientific Notation Calculator
Convert numbers to and from scientific notation. Add, subtract, multiply in scientific notation.
Rounding Calculator
Round numbers to any decimal place, nearest integer, or significant figures.
Long Division Calculator
Calculate long division step-by-step, showing quotient and remainder.
Number Sequence Calculator
Find the next terms and sum of arithmetic and geometric sequences from any starting values.
Factorial / Big Numbers Calculator
Calculate factorials of large numbers, permutations, and combinations with exact results.
Frequently asked questions
How does the quadratic formula solve ax squared + bx + c = 0?
The solutions are x = (-b plus or minus the square root of (b squared - 4ac)) / 2a. The part under the root, b squared - 4ac, is the discriminant: if it is positive there are two real roots, if it is zero there is one repeated real root, and if it is negative the roots are complex. Our calculator reports the discriminant alongside the roots.
What is the difference between GCF and LCM?
The Greatest Common Factor (GCF) is the largest number that divides two or more numbers exactly, while the Least Common Multiple (LCM) is the smallest number that all of them divide into. For any two positive integers a and b they are linked by GCF(a, b) times LCM(a, b) = a times b, which is why one can be found quickly from the other.
How do you add or subtract fractions with different denominators?
First rewrite both fractions over a common denominator, usually the least common multiple of the two denominators, then add or subtract the numerators while keeping that denominator. For example, 1/3 + 1/4 becomes 4/12 + 3/12 = 7/12. The Fraction calculator then reduces the result to its lowest terms.
What are the basic rules for exponents and logarithms?
Exponents follow the laws x to the m times x to the n = x to the (m + n), and (x to the m) to the n = x to the (m times n), with x to the 0 equal to 1 and x to the minus n equal to 1 over x to the n. A logarithm is the inverse: log base b of x = y means b to the power y = x, so log base 10 of 1000 is 3 because 10 cubed is 1000.
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