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60 + 84
the sum of the numbers as a product of their GCF is?

2 Answers

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Final answer:

The sum of 60 and 84 expressed as a product of their Greatest Common Factor is 144. You determine this by first finding the GCF, which is 12, and then adding the other factors (5 and 7) together and multiplying by the GCF.

Step-by-step explanation:

To find the sum of the numbers 60 and 84 as a product of their Greatest Common Factor (GCF), you first need to calculate the GCF of the two numbers. The GCF of 60 and 84 is 12. You can divide each number by 12 to find the other factors, which are 5 for 60 and 7 for 84. Therefore, the sum of the numbers can be expressed as the product of their GCF and the sum of these other factors:

60 + 84 = (12 × 5) + (12 × 7)

GCF × (sum of other factors) = 12 × (5 + 7)

Now you can add the other factors:

5 + 7 = 12

Then multiply by the GCF:

12 × 12 = 144

So, the sum of the numbers expressed as a product of their GCF is 144.

User Alexander Sorokin
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The sum is the gcf, if 60 plus 84 is 148 then wouldn't it be 148 that's what they all have in common, you can use a calculator to figure this out like say 148 times 2 equals 296, divide 296 by 60. Does it go in?
User Peter Hosey
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