The HCF of 4 and 5 is 1. The highest integer, which divides 4 and 5 equally, is the HCF. The factors of 4 and 5 are 1, 2, 4 and 1, 5, respectively. The methods which can be used to find the HCF, such as prime factorisation, long division and listing common factors, are explained briefly in this article so that students will be able to understand the concepts easily.
What is the HCF of 4 and 5?
The answer to this question is 1. The HCF of 4 and 5 found using the three different methods are available in this article. The value which divides 4 and 5 exactly provides the HCF.
Also read: Highest common factor
How to Find HCF of 4 and 5?
The three methods to get the HCF value of 4 and 5 is:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 4 and 5 by Prime Factorisation Method
The prime factorisation of 4 and 5 is given by:
4 = 2 × 2
5 = 5
There is no common prime factors of 4 and 5
Therefore, HCF (4, 5) = 1
HCF of 4 and 5 by Long Division Method
First, let us divide 4 and 5 by their prime factors to obtain the value of HCF of 4 and 5. The divisor value, when the remainder is zero, is the HCF.
No further division can be done.
Hence, HCF (4, 5) = 1
HCF of 4 and 5 by Listing the Factors
Calculate the HCF of 4 and 5 by listing out the common factors as given below:
Factors of 4: 1, 2, 4
Factors of 5: 1, 5
There is one common factor of 4 and 5, and that is 1.
Therefore, the highest common factor of 4 and 5 is 1.
Related Articles
Video Lesson on Properties of HCF and LCM
HCF of 4 and 5 Solved Example
Question: Determine the HCF of 4 and 5 if the LCM is 20.
Solution:
We know that
LCM × HCF = 4 × 5
HCF = (4 × 5)/20
HCF = 20/20 = 1
Hence, the HCF is 1.
Frequently Asked Questions on HCF of 4 and 5
Q1
What is the HCF of 4 and 5?
The HCF of 4 and 5 is 1.
Q2
How to find the HCF of 4 and 5, using the prime factorisation method?
Using the prime factorisation method,
4 = 2 × 2
5 = 5
There is no common factor of 4 and 5.
Therefore, the HCF is 1.
Q3
What methods can we use to find HCF of 4 and 5?
The methods we can use to find the HCF of 4 and 5 are Long Division, Listing Common Factors and Prime Factorisation.
Q4
Find the LCM if the HCF of 4 and 5 is 1 and the product is 20.
Given
HCF = 1
Product = 20
LCM × HCF = Product
LCM = Product/HCF
LCM = 20/1
LCM = 20
Q5
Mention the relation between HCF and LCM of 4 and 5.
The relation between HCF and LCM of 4 and 5 is
HCF × LCM = 4 × 5
HCF × LCM = 20
