What is the H.C.F of two consecutive

(i) Numbers
(ii) even numbers
(iii) odd numbers

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Solution

(i) The common factor of two consecutive numbers is always 1.
∴ HCF of two consecutive numbers = 1

(ii) The common factors of two consecutive even numbers are 1 and 2.
∴ HCF of two consecutive even numbers = 2

(iii) The common factor of two consecutive odd numbers is 1.
∴ HCF of two consecutive odd numbers = 1

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Question 26
Which of the following statements is not true?

(A) The HCF of two distinct prime numbers is 1
(B) The HCF of two co-prime numbers is 1
(C) The HCF of two consecutive even numbers is 2
(D) The HCF of an even and an odd number is even.

Question 2 (c)

What is the HCF of two consecutive odd numbers?

Q. Write true (T) of false (F) for each of the following statements:

(i) The H.C.F of two distinct prime numbers is 1.
(ii) The H.C.F of two co-prime number is 1.
(iii) The H.C.F of an even and an odd numbers is 1.
(iv) The H.C.F of two consecutive even numbers is 2.
(v) The H.C.F of two consecutive odd numbers is 2.

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What is the H.C.F of two consecutive (i) Numbers (ii) even numbers (iii) odd numbers

What is the H.C.F of two consecutive

(i) Numbers
(ii) even numbers
(iii) odd numbers