The HCF of 1 and 3 is 1. HCF is the greatest integer that can divide 1 and 3 evenly, and that number is 1. HCF stands for Highest Common Factor. It is also known as GCF (Greatest Common Factor) or GCD (Greatest Common Divisor). For a given set of numbers 1 and 3, there are no common factors other than 1. Hence, 1 is the HCF for 1 and 3. You can refer to GCF for more details.
What is the HCF of 1 and 3?
The Highest Common Factor, also known as the Greatest Common Factor of 1 and 3, is 1.
How to Find HCF of 1 and 3?
There are three methods to find the HCF of 1 and 3:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 1 and 3 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 1 and 3 can be expressed as:
1 = 1 × 1
3 = 1 × 3
The common prime factor of 1 and 3 is 1. Therefore, HCF will be:
HCF (1, 3) = 1
HCF of 1 and 3 by Long Division Method
In the long division method, the following steps are followed.
- From the given set of numbers, the smallest number becomes the divisor, and the larger number becomes the dividend.
- In the next step, the smaller number becomes the dividend, and the remainder becomes the divisor.
- The above step is followed until the remainder is zero.
- The last divisor would be the HCF.
The HCF of 1 and 3 by long division method is:
Therefore, HCF (1, 3) = 1
HCF of 1 and 3 by Listing Common Factors
By listing common factors of given numbers, we can identify the Highest/Greatest/Biggest Common Factor, which is the HCF. Below is the list of factors for 1 and 3.
Factors of 1: 1
Factors of 3: 1 and 3
Therefore, HCF (1, 3) = 1
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the greatest number that divides 1 and 3.
Solution: The greatest number that divides any 2 numbers is nothing but the GCF/HCF, which is 1 for 1 and 3.
2. What is the GCF of 12 and 24?
Solution: The GCF of 12 and 24 is 12.
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