Question

3.If a= xºy and b= xy';x, y are prime numbers then HCF (a,b)​

Answer 1

B. xy2 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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