Question

Find the GCD of $24,54$ and $36$ using step diagram method.

• A. $6$
• B. $9$
• C. $4$
• D. $12$

Answer 1

The correct option is A $6$

Let's generate step diagram for all the given numbers.



$24=2\times 2\times 2\times 3$
$54=2\times 3\times 3\times 3$
$36=2\times 2\times 3\times 3$

Common factors are $2$ and $3.$
$\therefore$ GCD of $24,54$ and $36$ is $2\times 3=6.$