The HCF of 3 and 8 is 1. HCF is the greatest integer that can divide 3 and 8 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 3 and 8, there are no common factors other than 1. Hence, 1 is the HCF for 3 and 8. You can refer to GCF for more details.
What is the HCF of 3 and 8?
The Highest Common Factor, also known as the Greatest Common Factor of 3 and 8, is 1.
How to Find HCF of 3 and 8?
There are three methods to find the HCF of 3 and 8:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 3 and 8 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 3 and 8 can be expressed as:
3 = 1 × 3
8 = 2 × 2 × 2
The common prime factor of 3 and 8 is 1. Therefore, HCF will be:
HCF (3, 8) = 1
HCF of 3 and 8 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 3 and 8 by long division method is:
Therefore, HCF (3, 8) = 1
HCF of 3 and 8 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 3 and 8:
Factors of 3: 1 and 3
Factors of 8: 1, 2, 4 and 8
Therefore, HCF (3, 8) = 1
Related Articles
Video Lesson on Properties of HCF and LCM
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Solved Examples
1. Find the greatest number that divides 3 and 8.
Solution: The greatest number that divides any 2 numbers is nothing but the GCF/HCF, which is 1 for 3 and 8.
2. What is the GCF of 15 and 30?
Solution: The GCF of 15 and 30 is 15.
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