Multiple choice

The greatest number which divides 1277 and 2802 leaving remainders 7 and 8, respectively, is

  1. 127

  2. 235

  3. 260

  4. None of these

  5. 305
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D Correct answer
AI explanation

To find the greatest number that leaves specific remainders, we first subtract those remainders from the given numbers; this gives 1270 and 2794. The required number must be the highest common factor of 1270 and 2794. Calculating this HCF gives exactly 2, because 1270 equals 2 times 635 and 2794 equals 2 times 1397, which share no other common factors. Since 2 is not listed among the choices, the correct response is none of these.

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