Multiple choice

The greatest number that divides 690 and 875 leaving remainders 10 and 25 respectively is -

  1. 170

  2. 130

  3. 150

  4. 120
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

We need the greatest number that divides 690 and 875 leaving remainders 10 and 25. This means the number divides (690-10) = 680 and (875-25) = 850 exactly. Find HCF(680, 850). 680 = 2³ × 5 × 17, 850 = 2 × 5² × 17. HCF = 2 × 5 × 17 = 170. Option B (130) is a common divisor but not the greatest; options C, D are not factors of both adjusted numbers.

Keep practicing — related questions