If two positive integers a and b are written | vedclass

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(D) Given that,$a = x^3 y^2 = x 	imes x 	imes x 	imes y 	imes y$.And $b = x y^3 = x 	imes y 	imes y 	imes y$.The $HCF$ of two numbers is the pr

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$x y^2$

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(D) Given that,$a = x^3 y^2 = x 	imes x 	imes x 	imes y 	imes y$.And $b = x y^3 = x 	imes y 	imes y 	imes y$.The $HCF$ of two numbers is the product of the smallest power of each common prime factor involved in the numbers.Here,the common prime factors are $x$ and $y$.The smallest power of $x$ is $x^1$ and the smallest power of $y$ is $y^2$.Therefore,$HCF(a, b) = x^1 	imes y^2 = x y^2$.

If two positive integers $a$ and $b$ are written as $a = x^3 y^2$ and $b = x y^3$,where $x$ and $y$ are prime numbers,then $HCF(a, b)$ is:

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