Question

if 2 positive integer a & b are written as a=x3y2 & b=xy3 , x and y are ​

Answer 1

Given that, a =x3y2 = x × x × x × y × y

and b = xy3 = x × y × y × y

∴ HCF of a and b = HCF (x3y2,xy3) = x × y × y = xy2

[Since, HCF is the product of the smallest power of each common prime factor involved in the numbers]

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