Multiple choice

The greatest number that can divide 140, 176, 264 leaving remainders of 4, 6 and 9 respectively is

  1. 85

  2. 34

  3. 17

  4. 2
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C Correct answer
Explanation

Find the HCF of (140-4), (176-6), and (264-9), which are 136, 170, and 255. The HCF of 136, 170, and 255 is 17.

AI explanation

Subtract the respective remainders from the given numbers to find the exact multiples of the required divisor, resulting in 140 minus 4 equals 136, 176 minus 6 equals 170, and 264 minus 9 equals 255. The greatest number that can divide these differences is their highest common factor. The highest common factor of 136, 170, and 255 is 17.

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