GCD (Greatest Common Divisor) is the largest number that divides two or more numbers without leaving a remainder. It is also called the highest common factor (HCF).

LCM (Least Common Multiple) is the smallest positive number that is a multiple of two or more numbers. It is useful for finding common denominators in fractions.

Can I calculate GCD and LCM for more than two numbers?

Yes. Enter multiple numbers separated by commas and the tool calculates the GCD and LCM for all of them simultaneously.

How are GCD and LCM related?

For two numbers a and b, the product of their GCD and LCM equals the product of the numbers themselves: GCD(a,b) x LCM(a,b) = a x b.

What algorithm is used?

The tool uses the Euclidean algorithm for GCD calculation, which is one of the oldest and most efficient algorithms in mathematics.

Tools Math & CalculatorGCD & LCM Calculator

GCD & LCM Calculator

Calculate greatest common divisor and least common multiple

Number A

Number B

How to Use

Step 1

Enter Numbers

Input the values or numbers you want to calculate

Step 2

Set Parameters

Configure any additional options or calculation settings

Step 3

Calculate

Click calculate to get your result instantly

Step 4

View Results

See the calculated result with detailed breakdown

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What Is GCD & LCM Calculator?

GCD & LCM Calculator is a free online tool that finds the Greatest Common Divisor and Least Common Multiple of two or more numbers. Solve fraction and divisibility problems instantly.

Key Features

Calculate GCD and LCM simultaneously. Support for multiple numbers at once. Show step-by-step calculation process. Prime factorization display. Works with large numbers efficiently.

Benefits

Simplify fractions quickly by finding the GCD. Find common denominators using LCM. Verify manual calculations for homework. Understand number relationships through factorization.

Use Cases

Simplify fractions by dividing by the GCD. Find common denominators for adding fractions. Solve scheduling problems using LCM. Mathematical competitions and homework verification.

Tips for Best Results

To simplify a fraction, divide both numerator and denominator by their GCD. To add fractions with different denominators, find the LCM of the denominators. Enter numbers separated by commas for multi-number calculations.