The HCF of 4 and 8 is 4. HCF of 4 and 8 is the greatest integer that can divide both the numbers evenly, and that number is 4. HCF stands for Highest Common Factor, and it is also known as GCF, Greatest Common Factor or GCD, Greatest Common Divisor. For a given set of numbers, there would be multiple common factors, and the highest among the common factors is known as the HCF. For the numbers 4 and 8, the common factors are 1, 2 and 4. Since 4 is the highest among the given factors, HCF will be 4 for 4 and 8. You can refer to GCF for more details.
What is the HCF of 4 and 8?
The Highest Common Factor, also known as the Greatest Common Factor, of 4 and 8 is 4.
How to Find HCF of 4 and 8?
There are three methods to find the HCF of 4 and 8:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 4 and 8 by Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 4 and 8 can be expressed as:
4 = 2 × 2
8 = 2 × 2 × 2
Common Prime Factors are 2 and 2.
Therefore, HCF (4, 8) = 2 × 2 = 4.
HCF of 4 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.
HCF of 4 and 8 by long division method is:
Hence, HCF (4, 8) = 4
HCF of 4 and 8 by Listing Common Factors
By listing all the factors of given numbers, we can identify the Highest/Greatest/Biggest common factor, which is the HCF. Below is the list of factors for 4 and 8:
Factors of 4: 1, 2, and 4.
Factors of 8: 1, 2, 4, and 8.
Therefore, HCF (4, 8) = 4
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the Greatest number that divides 4 and 8.
The Greatest number that divides both 4 and 8 is nothing but the GCF, which is 4.
2. What is the GCF of 11 and 44?
GCF of 11 and 44 is 11.
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