What is the H.C.F of two consecutive numbers?

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Non-existent

answer is C.

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Detailed Solution

H.C.F. is the greatest number that divides each of the two or more numbers.
Let’s take an example,
H.C.F. of 2 and 3.
Prime factors of 2 and 3,

2 = 1 \times 2

3 = 1 \times 3

H.C.F. = 1.
The HCF of two consecutive numbers is 1 as there is no common factor other than 1 for the two consecutive numbers.
Therefore, the HCF of two consecutive numbers is always one.
Hence, option 3 is correct.

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