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Q: Rewrite the sum of 75 + 18 as a product of the GCF of the two numbers and another sum?

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60 - 48 = 12(5 - 4)

(10 x 12) - (3 x 12) = 7 x 12 = 84

You need at least two numbers to find a GCF, so this probably isn't a GCF problem. To rewrite 10 as a product of its prime factors, use 2 x 5.

94

(4 x 9) + (5 x 9) = (9 x 9)c= 81

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 product of the GCF and LCM of two numbers is the same as the product of the numbers.

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 product of the LCM and GCF of two numbers is equal to the product of the original two numbers. The two numbers will be another factor pair of that product.

The product of the LCM and GCF of two numbers equals the product of the two numbers.

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.

The product of two numbers is equal to the product of their LCM and GCF.

The product of the GCF and LCM of two numbers is the same as the product of the two numbers.

If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.

If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.

The LCM of two numbers multiplied by their GCF will equal the product of the original numbers. If you know the LCM, divide it into the product. The result will be the GCF.

It's kind of inverse. The product of the GCF and LCM of a pair of numbers will equal the product of the original numbers.

(15 x 1) + (15 x 3) = 15 x 4 = 60

In these types of problems, the numbers can also be the answer. 3 and 30 have a GCF of 3 and an LCM of 30. Since the product of the GCF and LCM of two numbers is the same as the product of the numbers, you could also use another factor pair of 90, like 6 and 15.

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.

The general rule is that the product of the LCM and the GCF is equal to the product of the original two numbers. That would make the answer 20. Lets overlook the fact that two numbers with a GCF of 15 and an LCM of 20 don't exist.

They have an inverse relationship. Since the product of the LCM and GCF of two numbers equals the product of the original two numbers, as the GCF increases, the LCM decreases and vice versa.

If the GCF of the two numbers is 1, the LCM will be their product. IF the GCF is greater than one, the LCM will be less than the product.