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How to Find the Greatest Common Factor
Formula
The GCF (also called GCD) is the largest integer that divides both numbers without a remainder.
The Euclidean algorithm repeatedly replaces the larger number with the remainder until zero is reached.
Common use cases:
- Simplifying fractions to lowest terms
- Finding common denominators
- Solving ratio and proportion problems
Frequently Asked Questions
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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