Mathematics
Fill in the blanks:
(i) HCF of two consecutive natural numbers is ….
(ii) HCF of two consecutive odd numbers is ….
(iii) HCF of two consecutive even numbers is ….
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Answer
(i) Two consecutive natural numbers do not share any common factor other than 1.
Hence, HCF of two consecutive natural numbers is 1.
(ii) Two consecutive odd numbers (e.g., 5 and 7, or 9 and 11) have no common factor other than 1.
Hence, HCF of two consecutive odd numbers is 1.
(iii) Two consecutive even numbers (e.g., 6 and 8, or 10 and 12) are both divisible by 2, but not by any other common factor.
Hence, HCF of two consecutive even numbers is 2.
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