Question

Find the greatest number that will divide 28, 143, 303 leaving the same remainder of 3 in each case.

• A. 7
• B. 6
• C. 5
• D. 8

Answer 1

The correct option is C

5

Required number = HCF of {(28 - 3), (143 - 3), (303 - 3)}

= HCF of 25, 140, 300

First find the HCF of 25, 140

$\therefore$ HCF of 25 and 140 is 5

Find the HCF of 5 and 300

5 is the HCF of 5 and 300.

Consequently, HCF of 25, 140 and 300 is 5.

Hence, the required number is 5.