GCD & LCM Calculator

Solve common math problems instantly with our GCD & LCM Calculator. This tool computes two important properties of integer pairs:

• GCD (Greatest Common Divisor): Also known as the Greatest Common Factor (GCF) or Highest Common Factor (HCF). It is the largest positive integer that divides each of the integers.
• LCM (Least Common Multiple): The smallest positive integer that is divisible by both integers.

Real-World Applications

• Fractions: GCD is used to simplify fractions to their lowest terms. LCM is used to find the Lowest Common Denominator (LCD) when adding or subtracting fractions.
• Scheduling: LCM helps determine when two repeating events will occur at the same time (e.g., if one bell rings every 4 minutes and another every 6 minutes, they will ring together every 12 minutes).
• Tiling: GCD helps determine the largest square tile size that can perfectly cover a rectangular floor of a given size.

How to Use

1. Enter the first integer.
2. Enter the second integer.
3. The tool instantly calculates and displays the GCD and LCM.

Mathematical Relationship

There is a simple relationship between GCD and LCM for any two numbers a and b:

a × b = GCD(a, b) × LCM(a, b)