Which of the following pairs of numbers CANNOT share the same HCF as 24?(a) 12 and 36(b) 48 and 72(c) 30 and 42(d) 54 and 63
Question
Which of the following pairs of numbers CANNOT share the same HCF as 24?
(a) 12 and 36
(b) 48 and 72
(c) 30 and 42
(d) 54 and 63
Solution
To answer this question, we need to find the Highest Common Factor (HCF) of each pair of numbers and see if any of them cannot be 24.
(a) The HCF of 12 and 36 is 12. (b) The HCF of 48 and 72 is 24. (c) The HCF of 30 and 42 is 6. (d) The HCF of 54 and 63 is 9.
So, the pairs (a), (c), and (d) cannot have the same HCF as 24.
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