Greatest Common Factor Calculator
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Greatest Common Factor Calculator
Find the largest number that divides two or more numbers without leaving a remainder. Also known as Greatest Common Divisor (GCD).
Result
GCF Methods
| Method | Description | Best For |
|---|---|---|
| Euclidean Algorithm | Repeatedly divide larger number by smaller number until remainder is 0 | Large numbers |
| Prime Factorization | Break numbers into prime factors and multiply common factors | Small numbers, educational purposes |
Common Applications:
- Simplifying fractions
- Finding common denominators
- Solving ratio problems
- Cryptography and number theory
- Computer algorithms and data structures
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