Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
Example: 1/30 and 1/42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCD
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The GCF is 9. The LCM is 3528.
The LCD is 36
When the denominators are relatively prime, that is, they have a GCF of 1.
32 and 56 are the two numbers in question.
The GCF is the smaller number. The GCF of 2 and 4 is 2. The GCF of 3 and 6 is 3. The GCF of 7 and 49 is 7.