The HCF of 0 and 6 is 6. HCF is the greatest integer that can divide 0 and 6 evenly, and that number is 6. 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. However, for 0 and 6, we need to consider the factor of 6 only as the other number is 0. Therefore, the common factor of 0 and 6 is 6. You can refer to GCF for more details.
What is the HCF of 0 and 6?
The Highest Common Factor, also known as the Greatest Common Factor, of 0 and 6 is 6.
How to Find HCF of 0 and 6?
There are three methods to find the HCF of 0 and 6:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 0 and 6 by Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 0 and 6 can be expressed as:
0 = 0 × 2 or 0 × 3
6 = 2 × 3
Common Prime Factors are 2 and 3.
Therefore, HCF (0, 6) = 6.
HCF of 0 and 6 by Long Division Method
In the Long division method, the below 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 0 and 6 by long division method is:
Hence, HCF (4, 6) = 6
HCF of 0 and 6 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 0 and 6
Factors of 0: 1, 2, 3, 4 …..
Factors of 6: 1, 2, 3, and 6.
Therefore, HCF (4, 6) = 6
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the Greatest number that divides 8 and 16 evenly.
The Greatest number that divides both 8 and 16 is nothing but the GCF, which is 8.
2. What is the GCF of 12 and 60?
The GCF of 12 and 60 is 12.
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