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Q: How do you write the sum of a number as the product of their GCF and another sum?

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The answer depends on what the GCF and another number are!

5(8 + 5)

It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question! There is, therefore no GCF and so answer to the question.

7(5 + 6)

It's a way of combining the GCF with the distributive property. 30 + 42 = (6 x 5) + (6 x 7) = 6(5 + 7) = 6 x 12 = 72

The product of the original numbers is equal to the product of the GCF and LCM. Divide the product of the LCM and GCF by the one number. The answer will be the other.

120 - 36 = 12 x 7

4 x 13

you have to find the GCF of the two numbers

The GCF of the numbers is the greatest common factor no matter what their relationship is. When one number is a multiple of another number, the GCF is the smaller number.

In number theory, the product of two positive integers will equal the product of their GCF and LCM. Dividing that product by one of them will give you the other.

The product of any two positive integers is equal to the product of their GCF and their LCM. 72 x 32 = 2304 8 x 288 = 2304

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