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Express the sum of each pair of numbers as a product of greatest common factor of the numbers and another sum

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Patronus1619
Say the pair of numbers are expressed by a*g and b*g, with g being their greatest common factor, their sum, a*g+b*g = g*(a+b)
Say the pair of numbers are expressed by a*g and b*g, with g being their greatest common factor, their sum, a*g+b*g = g*(a+b) hehehehe i know this because i farted

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