Multiple choice

Find the greatest number that will divide 49, 147 and 322 to leave the same remainder in each case.

  1. 9

  2. 5

  3. 7

  4. 8
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For the same remainder r when dividing 49, 147, 322 by d: 49 = dq1 + r, 147 = dq2 + r, 322 = dq3 + r. Subtracting pairs eliminates r: differences are 98, 175, 253. The HCF of these differences gives the greatest possible d. HCF(98, 175, 253) = 7. Verification: 49 ÷ 7 = 7 rem 0, 147 ÷ 7 = 21 rem 0, 322 ÷ 7 = 46 rem 0. All give remainder 0, confirming 7 is the answer.

Keep practicing — related questions