The GCF in this case is 3.
75 + 18 = 93
93/3 = 31
Rewriting 31 as another sum seems unnecessary, but sure.
(30+1) * 3 = 93 = 75 + 18.
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The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.
The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.
Because prime numbers don't have any common prime factors. Their GCF is 1. Since the product of the GCF and LCM of a pair of numbers equals the product of the numbers, the LCM has to be equal to the product.
The set of numbers given are not suited for this since 9 and 35 are co-prime so that the GCF of the given set of numbers is 1. Using a GCF of 1 does not help.