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# What is the HCF of two consecutive

**(a)** numbers?

**(b)** even numbers?

**(c)** odd numbers?

To do :

We have to find the HCF of two consecutive

(a) numbers

(b) even numbers

(c) odd numbers

Solution :

The HCF of two consecutive numbers is 1.

Example:

The HCF of 7 and 8 is 1.

(b) The HCF of two consecutive even numbers is 2.

Example:

$4=2\times2$

$6=2\times3$

The HCF of 4 and 6 is 2.

(c) The HCF of two consecutive odd numbers is 1.

Example:

$3=3\times1$

$5=5\times1$

The HCF of 3 and 5 is 1.

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