# What is the HCF of two consecutive (a) numbers? (b) even numbers? (c) odd numbers?

**Solution:**

We will use the concept of the HCF(Highest Common Factor) to solve this.

(a) When calculating the HCF of two consecutive numbers, the common factor is 1.

Example: Consecutive numbers = 4, 5

The HCF of 4 and 5 is 1

Hence, HCF of any two consecutive numbers is equal to 1.

(b) When calculating the HCF of two consecutive even numbers, the common factor is 2.

Example: Consecutive even numbers = 2, 4

The HCF of 2 and 4 is 2

Hence, HCF of two consecutive even numbers is equal to 2.

(c) When calculating the HCF of two consecutive odd numbers, the common factor is 1.

Example: Consecutive odd numbers = 3, 5

The HCF of 3 and 5 is 1.

Hence, the HCF of two consecutive odd numbers is equal to 1.

You can also use the HCF Calculator to answer this.

NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.6 Question 2

## What is the HCF of two consecutive (a) numbers? (b) even numbers? (c) odd numbers?

**Summary:**

The HCF of two consecutive (a) numbers, (b) even numbers, and (c) odd numbers are 1, 2, and 1, respectively.