What is the HCF of Two Consecutive Numbers?

By Esha Dhawan|Updated : August 25th, 2022

Do you know what is the HCF of two consecutive numbers? The answer is simple. The HCF of two consecutive numbers is always 1. Why? This is because, for two consecutive numbers, there is no common factor other than 1. For instance, take two consecutive numbers like 4 and 5. These two numbers have no common factor in them other than 1. Let’s take a deeper look at this example below.

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Answer:

The HCF of two consecutive numbers will always be 1

For the consecutive numbers 4 and 5:

Factors of 4 = 1, 2, 4

Factors of 5 = 1, 5

Hence, the common factor for the consecutive numbers 4 and 5 is 1.

Similarly, when we calculate the HCF for two consecutive even numbers, the common factor will always be 2. However, for two consecutive odd numbers, the common factor will again be 1.

Summary:

What is the HCF of Two Consecutive Numbers?

The HCF of two consecutive numbers will always be 1. Why? This is because two consecutive numbers only have 1 as a common factor. You can test this with an example like the one given above. Two consecutive numbers will always have only 1 as a common factor, making it the HCF.

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