The HCF of 4 and 10 is 2. HCF is the greatest integer that can divide 4 and 10, evenly, and that number is 2. HCF stands for Highest Common Factor. 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 4 and 10, the common factors are 1 and 2. Since 2 is the highest among the given factors, HCF would be 2, for 4 and 10. You can refer to GCF for more details.
What is the HCF of 4 and 10?
The Highest Common Factor, also known as the Greatest Common Factor of 4 and 10, is 2.
How to Find HCF of 4 and 10?
There are three methods to find the HCF of 4 and 10:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 4 and 10 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 4 and 10 can be expressed as:
4 = 2 × 2
10 = 2 × 5
The common prime factor is 2.
Therefore HCF (4, 10) = 2
HCF of 4 and 10 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 4 and 10 by long division method is:
Therefore, HCF (4, 10) = 2
HCF of 4 and 10 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 4 and 10:
Factors of 4: 1, 2, and 4
Factors of 10: 1, 2, 5, and 10
Therefore, HCF (4, 10) = 2
Related Articles
Video Lesson on Properties of HCF and LCM
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Solved Examples
1. Find the greatest number that divides 4 and 10.
Solution: The greatest number that divides both 4 and 10 is nothing but the GCF, which is 2.
2. What is the HCF of 11 and 21?
Solution: The HCF of 11 and 21 is 1.
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