Question

The largest number that perfectly divides 480 & 270 is .

• A. 60
• B. 30
• C. 10

Answer 1

The correct option is B 30

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

To find their HCF, we use 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: $60=30\times 2+0$

$\therefore$ HCF = 30

Thus, The largest number which perfectly divides both 480 and 270 is 30.