GCD & LCM Calculator

Calculate the Greatest Common Divisor and Least Common Multiple of two numbers.

  • Free Online Tool
  • Instant Results
  • Mobile Friendly
  • No Installation
  • Secure & Private

Understanding This Calculator

Definitions

  • GCD (Greatest Common Divisor): The largest positive integer that divides each of the integers.
  • LCM (Least Common Multiple): The smallest positive integer that is divisible by both integers.

Relationship Formula

There is a direct relationship between GCD and LCM:

LCM(a, b) = |a × b| / GCD(a, b)

Example 1

Numbers: 12 and 18

  • Factors of 12: 1, 2, 3, 4, 6, 12
  • Factors of 18: 1, 2, 3, 6, 9, 18
  • GCD: 6 (Largest shared factor)
  • LCM: (12 × 18) / 6 = 216 / 6 = 36

Example 2

Numbers: 5 and 7 (Prime numbers)

  • GCD: 1
  • LCM: (5 × 7) / 1 = 35

How to Use

  • Enter the first number.
  • Enter the second number.
  • Get GCD and LCM instantly.

Frequently Asked Questions

How do I use the GCD & LCM Calculator?

Enter your values in the input fields, and the result will appear instantly.

Is this calculator free to use?

Yes, this calculator is 100% free and does not require any registration or subscription.

Is it mobile-friendly?

Absolutely! Our tool is optimized for all devices, including mobile phones, tablets, and desktop computers.