If two positive integers $a$ and $b$ are written as $a = x^{3} y^{2}$ and $b = x y^{3}$ ; $x, y$ are prime numbers, then $H C F (a, b)$ is

x y

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x y^{2}

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x^{3} y^{3}

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x^{2} y^{2}

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Solution

The correct option is B $x y^{2}$
$a = x^{3} y^{2}$ and $b = x y^{3}$
H.C.F will be the common numbers between a and b i.e. $x y^{2}$

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Q. If two positive integers a and b are written as

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Question 6
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If two positive integers a and b are written as a=x3y2 and b=xy3; x,y are prime numbers, then HCF(a,b) is

The correct option is B xy2 a=x3y2 and b=xy3H.C.F will be the common numbers between a and b i.e. xy2

If two positive integers $a$ and $b$ are written as $a = x^{3} y^{2}$ and $b = x y^{3}$ ; $x, y$ are prime numbers, then $H C F (a, b)$ is

The correct option is B $x y^{2}$
$a = x^{3} y^{2}$ and $b = x y^{3}$
H.C.F will be the common numbers between a and b i.e. $x y^{2}$