Multiple choice

What is the greatest number which divides 1305, 4665 and 6905 leaving 185 as remainder in each case?

  1. 1220

  2. 1210

  3. 1120

  4. 1110
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Subtract the remainder 185 from each number: 1120, 4480, 6720. The greatest number is the HCF of these values. HCF(1120, 4480, 6720) = 1120.

AI explanation

Subtract the common remainder 185 from 1305, 4665 and 6905 to get 1120, 4480 and 6720 respectively. The required greatest number is the highest common factor (HCF) of these three new numbers. Since 1120 divides exactly into both 4480 and 6720, the HCF is 1120. The greatest number that divides them to leave a remainder of 185 is 1120.

Keep practicing — related questions