Algebra calculators handle the building blocks of algebra and number theory — greatest common factor and least common multiple, averages, sequences, and special number series. Popular tools include the GCF Calculator, LCM Calculator, LCD Calculator, Average Calculator, and Quadratic Sequence nth-Term Calculator.
Choose a tool below for an instant, step-shown answer, or open the Trending tab to see what students are working on this week. Everything is free and works on any device.
- Fraction Calculator
- Matrix Calculator
- Slope Calculator
- Algebra Calculator
- Trigonometry Calculator
- Percentage Calculator
- Probability Calculator
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3D Line Equation From Two Points CalculatorFind the parametric and symmetric equation of a line in 3D from two points. Get the direction vector, components, and distance instantly.
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Binomial Probability CalculatorCalculate binomial probability P(X=k) with the formula C(n,k)·pᵏ·(1−p)^(n−k). Get exact, cumulative probabilities, mean and standard deviation.
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Is-Of Percentage Proportion CalculatorSolve the percentage proportion is/of = %/100 for any missing value. Enter any two of is, of, or percent and get the third instantly.
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Present & Future Value Algebra CalculatorSolve for present value or future value using FV = PV(1+r)ⁿ. Enter amount, rate per period, and number of periods to get instant results.
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Square Root of a Negative Number CalculatorSimplify the square root of a negative number into i·√n form. Enter any number to get the imaginary coefficient instantly with steps.
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Solve for Missing Value to Reach a Target AverageFind the missing value(s) you need to hit a target average. Enter your known numbers, total count, and goal average to solve instantly.
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Scale Factor Calculator for Similar FiguresFind the scale factor between similar figures, or solve for a missing dimension. Uses k = new ÷ original and new = k × original with area factor k².
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Three Numbers in a Ratio CalculatorSplit a total into three parts using a ratio a:b:c. Free share splitter that divides any amount proportionally with a worked example and formula.
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Expanded Form of a Number CalculatorConvert any whole number into expanded form using place value. Instantly see each digit multiplied by its power of ten and the full sum.
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De Moivre Theorem CalculatorRaise any complex number a + bi to a power n using De Moivre theorem. Get the polar and rectangular form, modulus, and argument instantly.
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Factor Difference of Cubes CalculatorFactor a difference of cubes a³−b³ into (a−b)(a²+ab+b²). Enter a and b to get the factored form, each term, and the numeric value instantly.
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Dividing Scientific Notation CalculatorDivide two numbers written in scientific notation instantly. Enter coefficients and exponents to get the quotient in normalized scientific notation and decimal form.
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Sum of First n Odd Numbers CalculatorFind the sum of the first n odd numbers instantly. Uses the famous identity 1+3+5+...+(2n−1) = n². Enter n and get the result with steps.
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Logarithm Base Conversion CalculatorEvaluate logₐ(b) for any base instantly. Uses the change-of-base formula logₐ(b) = ln(b)/ln(a) to compute logarithms in any base accurately.
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Pythagorean Triple Generator CalculatorGenerate Pythagorean triples (a, b, c) from two integers m and n using Euclid formula: a=m²−n², b=2mn, c=m²+n². Free, instant, exact.
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Sum of First n Even Numbers CalculatorFind the sum of the first n even numbers (2 + 4 + 6 + ...) instantly using the closed-form formula n(n+1). Free, fast, and accurate.
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Solve Compound Interest for Rate or TimeSolve the compound interest formula for the unknown interest rate or time. Enter principal, future amount and compounding frequency to find r or t.
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Straight-Line Depreciation CalculatorCalculate straight-line (linear) depreciation: annual expense, accumulated depreciation, and book value of an asset after any number of years.
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Simplify a Ratio to Lowest Terms CalculatorReduce any ratio a:b to its simplest form. Enter two numbers and instantly get the lowest-terms ratio plus the greatest common divisor (GCD).
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Quadratic Function Analyzer CalculatorAnalyze any quadratic ax²+bx+c: find the vertex, axis of symmetry, real roots, discriminant, and y-intercept instantly with steps.
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Break-Even Point CalculatorFind the break-even point in units and revenue from fixed cost, selling price, and variable cost per unit. Free linear cost-revenue-profit calculator.
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Linear System of 3 Unknowns SolverSolve a system of 3 linear equations in 3 unknowns (x, y, z) by Gauss-Jordan elimination. Shows the unique solution and the reduced row echelon form.
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Perpendicular Bisector Equation CalculatorFind the perpendicular bisector of a segment from two points: midpoint, perpendicular slope, y-intercept and the full line equation in seconds.
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Midpoint Formula CalculatorFind the midpoint between two points (x1, y1) and (x2, y2) instantly. Free midpoint formula calculator: Mx = (x1+x2)/2, My = (y1+y2)/2.
Frequently asked questions
What can I calculate with these algebra tools?
Factors and multiples (GCF, LCM, LCD), means and averages, arithmetic and quadratic sequences, nth-term formulas, and figurate numbers such as triangular numbers.
Do they show the working, not just the answer?
Yes — most display the steps and formula so you can check your own work and learn the method.
Are they free and mobile-friendly?
Yes — free, no sign-up, and fully usable on phones and tablets.
How accurate are the results?
They apply standard algebraic methods and are tested against known values; for exact fractions or symbolic results, check the tool matches the form your assignment requires.
Which algebra calculators are most popular?
This page lists them by usage; the Trending tab shows what's rising this week.
