Multiple choice

What is the greatest number which will divide 110 and 128 leaving a remainder 2 in each case?

  1. 8

  2. 18

  3. 28

  4. 38

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A number dividing 110 and 128 leaving remainder 2 in each case means it divides (110-2) = 108 and (128-2) = 126 exactly. Find HCF of 108 and 126. 108 = 2² × 3³, 126 = 2 × 3² × 7. HCF = 2 × 3² = 18. Option B is correct.