The LCM of two numbers is $25$ times their HCF. the product of the two numbers is $2025$ . Find the HCF.

$81$

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$45$

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$9$

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$18$

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Solution

The correct option is C
$9$

We have to find HCF
$L C M = 25 \times H C F$
Product of two numbers $= 2025$
We know that
$L C M \times H C F = P r o d u c t o f t w o n u m b e r s = > 25 \times {(H C F)}^{2} = 2025 = > {(H C F)}^{2} = 81 = > H C F = 9$
Hence, option C is the answer.

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