Question

If a=2^2×3^3×5^4 and b=2^3×3^2×5 then H.C.F (a,b)=

Answer 1

Answer:150

Step-by-step explanation:

Answer 2

$\huge\mathcal\color {teal}AnSwEr$

$\small\red{☆\:Given\:☆}$

$a={(2}^{2}× {3}^{3}× {5}^{4)}$

${and}$

$b= {(2}^{3 }× {3}^{2}×5)$

$\small\orange {☆\:Finding\:the\:common\:factor\:☆}$

$a=2×2×3×3×3×5×5×5×5$

$b=2×2×2×3×3×5$

$\small\blue {☆\:Common\:Factors\:☆}$

$2×2×3×3×5$

$4×9×5$

$36×5$

$180$

$\small\pink{☆\:Therefore\:,\:the\:H.C.F\:of\:a\:and\:b\:☆}$

$180$