Question

4.
What is the HCF of-
(a) two consecutive natural numbers.
(b) two consecutive even numbers.
(c) two consecutive odd numbers.
(d) any two prime numbers.​

Answer 1

Answer:

a. 1

For example, let's take the numbers 4 and 5

4 = 2 x 2

5 = 5

HCF is 1

b. 2

For example, let's take the numbers 2 and 4

2 =2

4 =2 x 2

HCF = 2

c. 1

For example, let's take the numbers 3 and 5

3 = 3

5 = 5

HCF = 1

d. 1

Definitely one because they don't have any other factors except one and itself.