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Question

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

A
is 1
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B
is LCMSmaller number
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C
is the smaller number
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D
Will be equal to LCM
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Solution

The correct option is C is the smaller number
Let a, b be the two numbers such that, a < b.
As we know, LCM×HCF=a×b
Here LCM = b (given in the question)
So,
b×HCF=a×b
HCF = a
HCFa,bLCM
So, HCF will be the smaller number.

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