If LCM of two numbers is greater than the two numbers, then its HCF

Will always be 1

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Will be

\frac{L C M}{S m a l l e r n u m b e r}

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Will be the smaller number

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Will be equal to LCM

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Solution

The correct option is C Will be the smaller number
Let a, b are the two numbers such that a < b.
As we know, $L C M \times H C F = a \times b$
Here LCM = b (given in the question)
So,
$b \times H C F = a \times b$
HCF = a
$H C F \leq a, b \leq L C M$
So, HCF will be smaller than the two numbers.

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