Tool description

The GCD Calculator is a mathematical tool that computes the Greatest Common Divisor (also known as Greatest Common Factor or Highest Common Factor) of multiple numbers. The GCD is the largest positive integer that divides each of the numbers without a remainder.

Features

  • Multiple Number Support: Calculate GCD for 2 or more numbers at once
  • Flexible Input: Enter numbers separated by commas, spaces, or semicolons
  • Instant Calculation: Get results immediately with a single click
  • Clear Interface: Simple and intuitive design for quick calculations
  • Input Validation: Ensures only positive integers are processed

Use Cases

  • Mathematics Education: Learning and teaching number theory concepts
  • Fraction Simplification: Finding the simplest form of fractions
  • Problem Solving: Mathematical problems involving divisibility
  • Programming: Algorithm development and testing
  • Engineering: Design calculations requiring common factors

What is GCD?

The Greatest Common Divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder. For example:

  • GCD(12, 18) = 6 (both 12 and 18 are divisible by 6)
  • GCD(24, 36, 60) = 12 (all three numbers are divisible by 12)

The GCD is used in many mathematical operations, particularly in simplifying fractions and solving problems in number theory.