Question

The H.C.F. of the numbers $16.5,0.90$ and $15$ is

• A. $16.5$
• B. $0.90$
• C. $15$
• D. $0.3$

Answer 1

Answer: (D)

$0.3$

The given numbers are $16.5,0.90$ and $15$

Multiplying each number by $100$ we get $1650,90$ and $1500$

Let us consider the numbers $1650,90$ and $1500$

By prime factorization, we get,

$1650=2\times 3\times 5^2\times 11$
$90=2\times 3^2\times 5$
$1500=2^2\times 3\times 5^3$

H.C.F. of $1650,90$ and $1500$ is $2\times 3\times 5=30$

Therefore, H.C.F. of $16.5,0.90$ and $15$ will be $\frac{30}{100}$$=0.30$

So, option $D$ is correct.