Multiple choice

What is the greatest number that will divide 144, 180 and 192, leaving no remainder in each case?

  1. 36

  2. 18

  3. 24

  4. 12

  5. None of these
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D Correct answer
Explanation

Find the HCF of 144, 180, and 192. 144 = 12 * 12, 180 = 12 * 15, 192 = 12 * 16. The greatest common divisor is 12.

AI explanation

The greatest number that divides multiple numbers without leaving a remainder is their highest common factor. First, find the differences between the numbers, which are 180 - 144 = 36 and 192 - 144 = 48. The highest common factor of 36 and 48 is 12, meaning 12 is the greatest number that divides 144, 180 and 192 exactly.

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