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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 0

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C

will be the smaller number

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D

will be equal to LCM

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Solution

The correct option is C

will be 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
We know that for two numbers a and b, HCFa,bLCM.
Here HCF will be the smaller number.


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