Question

If $a=(2^2\times 3^3\times 5^4)\text{and}b=(2^3\times 3^2\times 5)$ then, HCF of $(a,b)$ is ____.

• A. 90
• B. 180
• C. 360
• D. 540

Answer 1

The correct option is B 180

It is given that:
$a=2^2\times 3^3\times 5^4$ and $b=2^3\times 3^2\times 5$
HCF $(a,b)=$ Product of smallest power of each common prime factor in the numbers

$=2^2\times 3^2\times 5$

$=180$

Therefore, HCF $(a,b)=180$.