Question

What is the HCF of two consecutive numbers?

Answer 1

Hint: First assume any two consecutive numbers, then find the factors of those numbers and find the greatest common factors that divide the given number.

Complete step-by-step answer:
HCF of two consecutive numbers:
Let us assume that the two consecutive numbers are 8 and 9

We know that all the factors of 8 and 9 are
8 –> 1, 2, 4 and 8 …… (1)
9 –> 1, 3 and 9 …… (2)

Therefore,
From (1) and (2)
We can say that the HCF of two consecutive numbers 8 and 9 and their highest common factor is always 1.

The HCF of two consecutive numbers is always 1

Note: This is a property you need to remember. i.e. The HCF of any two consecutive numbers is always 1 and LCM of two consecutive numbers is equal to their Product.