Question

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

• A. is 1
• B. is 0
• C. will be the smaller number
• D. will be equal to LCM

Answer 1

The correct option is C

will be the smaller number

Let a, b be the two numbers such that, a < b.
As we know, $LCM\times HCF=a\times b$
Here LCM = b (given in the question)
So, $b\times HCF=a\times b$
HCF = a
We know that for two numbers a and b, $HCF\le a,b\le LCM$.
$\therefore$ Here HCF will be the smaller number.