Question

Find the common factors of $75,60$ and $210$

Answer 1

Determine the common factor

If a number which divides the other number and leave the remainder as zero then such number is called the factor of the given number.

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

The factors of the numbers $75,60$and $210$ are

$$\begin{gathered} 75:1,3,5,15,25,75 \\ 60:1,2,3,4,5,6,10,12,15,20,30,60 \\ 210:1,2,3,5,7,10,14,15,21,30,42,70,140,210 \end{gathered}$$

On observing these factors we can conclude that,

The common factors are $\begin{array}{rcl}& & 3,5\end{array}$ and $\begin{array}{rcl}& & 15\end{array}$

Hence, the common factor of $75,60,$and $210$ are $3,5$ and $15$.