Multiple choice

The LCM of two numbers is 144. What can be their HCF?

  1. 64

  2. 66

  3. 120

  4. 16

  5. 25
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D Correct answer
Explanation

The Highest Common Factor (HCF) of any two numbers must always be a factor of their Least Common Multiple (LCM). Among the given options, only 16 is a factor of 144 (144 / 16 = 9), so 16 can be their HCF.

AI explanation

Using the property that the highest common factor of two numbers must be a factor of their least common multiple, we must find a number that divides 144 perfectly. Since 144 divided by 16 equals 9 with no remainder, 16 can be their highest common factor. The other options of 64, 66, 120, and 25 do not divide 144 evenly.

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