If a= (2^2 3^3 5^4 ) and b= (2^3 3^2 5 ), then HCF (a, b) = ? - Vidyadip

MCQ

If $a=\left(2^2 \times 3^3 \times 5^4\right)$ and $b=\left(2^3 \times 3^2 \times 5\right)$, then $\text{HCF} \ (a, b) =$ ?

A
$90$
✓
$180$
C
$360$
D
$540$

✓

Answer

Correct option: B.

$180$

$a=2^2 \times 3^3 \times 5^4$
$b=2^3 \times 3^2 \times 5$
$\operatorname{HCF}\ (a, b)=2^2 \times 3^2 \times 5=180$

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