Question

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

• A. Will always be 1
• B. Will be$\frac{LCM}{Smallernumber}$
• 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 are 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.