Question

The GCD of $1080$ and $675$ is

• A. $145$
• B. $135$
• C. $225$
• D. $125$

Answer 1

The correct option is B

$135$

Find the GCD of given numbers

Given numbers, $1080$ and $675$

By division method for finding GCD, we get

$$\begin{gathered} \underline{\overline{)3}1080,675} \\ \underline{\overline{)3}360,225} \\ \underline{\overline{)3}120,75} \\ \underline{\overline{)5}40,25} \\ \overline{)}8,5 \end{gathered}$$

The numbers cannot be divided further as they do not have a common factor.

Product of common factors $=3\times 3\times 3\times 5=135$

Therefore, the GCD of $1080$ and $675$ is $135$.

Hence, option (B) is the correct answer.