Question

if 2 positive integers a and b are written in the form of a= x³y³ and b=xy³; x and y are prime numbers then HCF of a and b is ____

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Answer 1

Given that, a =x²y²= 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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