Question

The common factor of $8a^2{b}^4{c}^2,12a^{4}b{c}^4$ and $20a^3{b}^4$ is

• A. $a^4{b}^4$
• B. $a^2{b}^2$
• C. $4a^2{b}^2$
• D. $4a^{2}b$

Answer 1

Answer: (D)

$8a^2{b}^4{c}^2=2\times 2\times a\times a\times b\times b\times b\times b\times c\times c$
$12a^{4}b{c}^4=2\times 2\times 3\times a\times a\times a\times a\times b\times c\times c$
$20a^3{b}^4=2\times 2\times 5\times a\times a\times a\times b\times b\times b\times b$
$\text{ Common factor }=4a^{2}b$