If LCM of two numbers is equal to the greater number, then its HCF will be .

one

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smaller number

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equal to LCM

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Solution

The correct option is B smaller number
Let a, b be 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 the smaller number.

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