Question

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

• A. is 1
• B. is $\frac{LCM}{Smallernumber}$
• C. is the smaller number
• D. Will be equal to LCM

Answer 1

The correct option is C is 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
$HCF\le a,b\le LCM$
So, HCF will be the smaller number.