Question

What is the largest number that perfectly divides 480 and 270?

• A. 60
• B. 30
• C. 10
• D. 15

Answer 1

The correct option is B

30

The maximum number which divides both 480 and 270 perfectly is their HCF.

To find their HCF, we use the Euclid's division algorithm.

Step 1 : $480=270\times 1+210$
Step 2 : $270=210\times 1+60$
Step 3 : $210=60\times 3+30$
Step 4 : $60=30\times 2+0$

$\therefore$ The largest number that perfectly divides 480 and 270 = 30.