Question

The common factor of 8a²b³c², 12a³bc³ and 20a³b is

Answer 1

Step-by-step explanation:

$\color{green} \pmb{\[ \begin{array}{l} \tt \bull \: \: \: 8 a^{2} b^{4} c^{2}=2 \times 2 \times 2 \times a \times a \times b \times b \times b \\ \tt \times b \times c \times c \\ \tt \bull \: \: \: 12 a^{4} b c^{2}=2 \times 2 \times 3 \times a \times a \times a \times a \times b \\ \tt \times c \times c \\ \tt \bull \: \: \: 20 a^{3} b^{4}=2 \times 2 \times 5 \times a \times a \times a \times b \times b \\ \tt\times b \times b . \end{array} \]}$

Hence, the common factor is

$\red{ \begin{array}{l} \: \text{\( \tt 2 \times 2 \times a \) \( \tt \times a \times b \) }\\ \text{ i.e. \( \boxed{ \tt 4 a^{2} b }\).} \end{array}}$