Find the HCF of $x^{3} y^{2}, x^{2} y^{3}$ and $x^{4} y^{4}$

x^{3} y^{4}

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x^{2} y^{2}

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x^{4} y^{4}

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Solution

The correct option is C $x^{2} y^{2}$
$x^{3} y^{2} = x^{3} \times y^{2}$
$x^{2} y^{3} = x^{2} \times y^{3}$
and $x^{4} y^{4} = x^{4} \times y^{4}$
$∴$ HCF $= x^{2} \times y^{2} = x^{2} y^{2}$ .
Option C is correct.

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