Last updated: March 2, 2026 by Dr. David Park

How to Find the Greatest Common Divisor

Formula

The GCD is the largest number that divides both inputs evenly, found efficiently via the Euclidean algorithm.

GCD and LCM are closely related: GCD(a,b) x LCM(a,b) = a x b.

Common use cases:

  • Simplifying fractions
  • Cryptography key generation
  • Scheduling and timing calculations

Frequently Asked Questions

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Dr. David Park

Applied Mathematician, PhD Mathematics

David holds a PhD in Applied Mathematics from MIT. He has published research on numerical methods and computational algorithms used in engineering and scientific calculators.

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