HCF of 4 and 5

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

• HCF of Two Numbers
• HCF and LCM
• Relation between HCF and LCM
• GCF calculator
• GCF

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.