Multiple choice

Given: Three numbers 17, 42 and 93 find the largest number to divide all the three numbers leaving the remainders 4, 3, and 15 respectively at the end?

  1. 13

  2. 15

  3. 17

  4. 78

  5. 89
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A Correct answer
Explanation

We need the HCF of (17-4), (42-3), and (93-15). HCF of 13, 39, and 78. 13 is a factor of 39 (13*3) and 78 (13*6). The HCF is 13.

AI explanation

Subtract the respective remainders from the numbers to get 17 minus 4 equals 13, 42 minus 3 equals 39, and 93 minus 15 equals 78. The largest number that divides these new values exactly is their highest common factor. The highest common factor of 13, 39, and 78 is 13. The result is 13.

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