Question

Find the largest number which can divide both 324 and 144.

• A. 21
• B. 9
• C. 36
• D. 18

Answer 1

The correct option is C

36

The largest number that can divide both 324 and 144 is the HCF of both the numbers.
Prime factorising the two numbers we get,
$324=2\times 2\times 3\times 3\times 3\times 3$
$144=2\times 2\times 2\times 2\times 3\times 3$
Now, taking the common factors between them will give us the HCF.
$\therefore$ HCF $=2\times 2\times 3\times 3=36$