Question

is the largest number that perfectly divides 480 and 270.

• A. 10
• B. 15
• C. 30
• D. 60

Answer 1

The correct option is C 30

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

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

HCF = 30

Therefore, the largest number which divides both the number is 30.