Math

GCF Calculator

Find the greatest common factor of two numbers.

Parameters Live Compute
Calculated Output
Greatest common factor 12
Formula: Euclid's algorithm
Step-by-Step Breakdown
1. Values used:
2. First number = 48
3. Second number = 36
4.
5. Greatest common factor = First number - Second number = 48 - 36 = 12
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The largest number that divides both values exactly.

The math behind it

Repeatedly replace the larger number with the remainder of dividing the two, until one is zero (Euclid's algorithm).

Worked Example

GCF(48, 36) = 12.

Frequently Asked Questions

Use?

Simplifying fractions and ratios.

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