HCF of 3 and 7

The HCF of 3 and 7 is 1. The listing common factors, prime factorisation and long division are the three most frequent methods used for calculating the HCF of 3 and 7. The highest number that divides 3 and 7 perfectly, leaving no remainder, is known as the HCF of 3 and 7. 3 and 7 have the factors 1, 3, and 1, 7, correspondingly.

Also read: Highest common factor

What is the HCF of 3 and 7?

The answer to this question is 1. This article shows how to find the HCF of 3 and 7 using various methods for your reference. The greatest of all their common factors is the Highest Common Factor (HCF) of two or more numbers.

How to Find HCF of 3 and 7?

There are three methods to find the HCF of 3 and 7:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 3 and 7 by Prime Factorisation Method

The prime factorisation of 3 and 7 is given by:

Prime factorisation of 3 = (3)

Prime factorisation of 7 = (7)

Hence, the HCF of 3 and 7 is 1.

HCF (3, 7) = 1

HCF of 3 and 7 by Long Division Method

The divisor that we get when the remainder is 0 after doing long division repeatedly is the HCF of 3 and 7.

No further division can be done. 

Hence, HCF (3, 7) = 1

HCF of 3 and 7 by Listing Common Factors

To calculate the HCF of 3 and 7 by listing common factors, list the factors as shown below:

Factors of 3 = 1, 3

Factors of 7 = 1, 7

Therefore, the HCF of 3 and 7 is 1.

Related Articles

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

Video Lesson on Properties of HCF and LCM

HCF of 3 and 7 Solved Example

The product of two numbers is 21. If their HCF is 1, what is their LCM?

Solution:

Given: HCF = 1 and product of numbers = 21

∵ LCM × HCF = product of numbers

⇒ LCM = Product/HCF = 21/1

Therefore, the LCM is 21.