Multiple choice

The greatest number that will divide $137, 182$ and $422$ leaving a remainder of $2$ in each case is

  1. $15$
  2. $12$
  3. $21$

  4. none of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The number must divide (137-2), (182-2), and (422-2), which are 135, 180, and 420. The HCF of 135, 180, and 420 is 15.

AI explanation

Subtract the remainder 2 from each of the numbers to obtain 135, 180, and 420. The required greatest number is the highest common factor (HCF) of these three new numbers. Factoring the differences shows that 15 divides exactly into 135, 180, and 420, making it the HCF.

Keep practicing — related questions