Question

Find the common factors of:$6abc,24a{b}^2,12a^{2}b$

Answer 1

Determine the common factor:

A factor of a number is a number that divides the given number evenly.

If a number is the factor of two or more numbers. then that number is called a common factor of those numbers.

Given numbers,

$6abc$, $24a{b}^2$ and $12a^{2}b$

The factors of the numbers $6abc$, $24a{b}^2$ and $12a^{2}b$ are,

$$\begin{gathered} 6abc=1\times 2\times 3\times a\times b\times c \\ 12a{b}^2=1\times 2\times 2\times 3\times a\times b\times b \\ 24a^{2}b=1\times 2\times 2\times 2\times 3\times a\times b\times a \end{gathered}$$

On observing these factors we can conclude that,

Common factor$=2\times 3\times a\times b$$\begin{array}{rcl}& =& 6ab\end{array}$

Hence the common factor of $6abc$, $24a{b}^2$ and $12a^{2}b$ is $6ab$.