GCD stands for Greatest Common Divisor. It is the largest positive integer that divides all the given numbers without a remainder.

LCM stands for Least Common Multiple. It is the smallest positive integer that is a multiple of all the given numbers.

Is this GCD and LCM calculator free?

Yes. The calculator is free to use in your browser and does not require an account.

GCD and LCM Calculator

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

Yes. Enter two or more whole numbers separated by commas, spaces, or line breaks.

Q: Can I use negative numbers?

Yes. The calculator uses the absolute values of negative integers when calculating the GCD and LCM.

Quickly calculate the Greatest Common Divisor and Least Common Multiple of two or more numbers. This tool is useful for math homework, number theory, fractions, ratios, and problem solving.

What Is a GCD/LCM Calculator?

A GCD/LCM Calculator helps you find two important values from a set of numbers. The GCD, also called the Greatest Common Divisor, is the largest number that can divide all given numbers without leaving a remainder. The LCM, also called the Least Common Multiple, is the smallest positive number that all given numbers can divide evenly.

This calculator is designed for students, teachers, and anyone who needs fast number calculations. Instead of solving manually, you can enter multiple numbers and get accurate results instantly.

For two non-zero integers: LCM(a, b) = |a × b| ÷ GCD(a, b)

Fast Results

Get GCD and LCM instantly without doing long manual steps.

Multiple Numbers

Calculate values for two or more numbers at the same time.

Accurate Logic

The tool uses reliable mathematical formulas for correct results.

How It Works

Enter two or more whole numbers in the input box. You can separate them with commas or spaces.

Click the calculate button. The tool checks your numbers and removes unnecessary spaces.

The calculator finds the GCD by comparing common divisors between the numbers.

The calculator finds the LCM using the formula: LCM = absolute value of number multiplication divided by GCD.

Your final GCD and LCM results appear clearly in separate result boxes.

GCD and LCM Example

Suppose you want to calculate the GCD and LCM of 12, 18, and 24. Their common divisors are compared first, and the greatest divisor shared by all three numbers is 6. The smallest positive multiple shared by all three numbers is 72. Therefore, GCD(12, 18, 24) = 6 and LCM(12, 18, 24) = 72.

Remember that the GCD focuses on shared factors, while the LCM focuses on a shared multiple. If one of the entered numbers is zero, the calculator returns an LCM of zero.

Why Use This Calculator?

GCD and LCM are commonly used in simplifying fractions, comparing ratios, solving divisibility problems, finding common denominators, and working with repeated cycles. A manual calculation can take time, especially when there are more than two numbers.

This online GCD/LCM Calculator makes the process simple. It is clean, mobile-friendly, and suitable for quick educational use. You can use it for homework, exams practice, teaching examples, or everyday calculations.

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FAQs

What is GCD?

GCD stands for Greatest Common Divisor. It is the largest number that divides all given numbers exactly.

What is LCM?

LCM stands for Least Common Multiple. It is the smallest positive number that is a multiple of all given numbers.

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

Yes. This calculator supports two or more numbers. Enter them with commas or spaces, such as 12, 18, 24.

Can I use negative numbers?

Yes. The calculator uses the absolute value of negative numbers for GCD and LCM calculations.

Is this GCD/LCM Calculator free?

Yes. This calculator is free to use and works directly in your browser without any signup.