If two positive integers a and b are written as a = x3 y2 and b = xy3, where x, y are prime numbers, then HCF (a,b) is


Let 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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