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1. Write out their prime factorizations. 2. Determine which prime factors are shared by all 3 numbers. 3. Multiply them together. 4. That product is the gcf.
For example, the gcf of 84, 126, and 686 is 14 because
1. 84=2x2x3x7
126=2x3x3x7
686=2x7x7x7
2. All three numbers share 2 and 7 as common prime factors.
3. 2x7=14
4. 14 is the gcf
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