Multiple choice

State whether following statement is true or false. $6$ is the greatest number that divides $18, 24, 42$ exactly without leaving a remainder.

  1. True

  2. False
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A Correct answer
Explanation

The greatest common divisor (GCD) of 18, 24, and 42 is 6. Since 6 divides all three and is the largest such integer, the statement is true.

AI explanation

To find the greatest number that divides 18, 24 and 42 exactly, calculate their highest common factor. The prime factorization of 18 is 2 times 3 squared, of 24 is 2 cubed times 3, and of 42 is 2 times 3 times 7. The highest common factor among them is 6, making the statement true.

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