Multiple choice

Find the greatest number that divides 130, 305 and 245 leaving remainder 2, 1 and 5 respectively.

  1. 8

  2. 5

  3. 16

  4. 24
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C Correct answer
Explanation

To find the greatest number that divides 130, 305, and 245 leaving remainders 2, 1, and 5 respectively, we first subtract the remainders from each number: 130-2=128, 305-1=304, 245-5=240. Then we find the HCF of 128, 304, and 240. The HCF of these three numbers is 16, which is the required answer. This works because 16 divides all three adjusted numbers exactly, so it will divide the originals with the specified remainders.

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