What is HCF of $8 x^{2} y^{2}, 12 x^{3} y^{2} a n d 24 x^{4} y^{3} z^{2} ?$

4 x^{2} y^{2}

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4 x^{2} y^{3}

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4 x^{3} y^{3}

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4 x^{3} y^{2}

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Solution

The correct option is A $4 x^{2} y^{2}$
$8 x^{2} y^{2} = 2 \times 2 \times 2 \times x \times x \times y \times y$
$12 x^{3} y^{2} = 2 \times 2 \times 3 \times x \times x \times x \times y \times y$
$24 x^{4} y^{3} z^{2} = 2 \times 2 \times 2 \times 3 \times x \times x \times x \times x \times y \times y \times y \times z \times z$
HCF of $8 x^{2} y^{2}, 12 x^{3} y^{2}$ and $24 x^{4} y^{3} z^{2} = 2 \times 2 \times x \times x \times y \times y = 4 x^{2} y^{2}$

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