I'll assume you're talking about simplifying fractions.
Example: 6/8
The GCF of 6 and 8 is 2, so divide 6 and 8 by 2.
6/8 = 3/4
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Divide the GCF into each to get the other factors.
The same as the GCF of 84 and 12 - where 12 is the remainder, when you divide 96 by 84.
No, they cannot. The GCF must evenly divide the LCM.
The product of the GCF and the LCM is the same as the product of the original two numbers. Divide the product of the original numbers by the GCF. The result will be the LCM.
The factors of 33 are:1, 3, 11, 33The factors of 99 are:1, 3, 9, 11, 33, 99The common factors are:1, 3, 11, 33The Greatest Common Factor (GCF) is:33