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.

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

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.

Frequently Asked Questions on HCF of 3 and 7

Q1

What is the HCF of 3 and 7?

The HCF of 3 and 7 is 1. To calculate the HCF of 3 and 7, we need to factor each number (factors of 3 = 1, 3; factors of 7 = 1, 7) and choose the highest factor that exactly divides both 3 and 7 .i.e. 1.
Q2

What is the relation between LCM and HCF of 3 and 7?

The following equation can be used to express the relation between LCM and HCF of 3 and 7 .i.e HCF × LCM = 3 × 7.
Q3

What are the methods to find the HCF of 3 and 7?

There are three commonly used methods to find the HCF of 3 and 7. They are:
Long Division
Listing Common Factors
Prime Factorisation
Q4

How to find the HCF of 3 and 7 by long division method?

To find the HCF of 3 and 7 using the long division method, 7 is divided by 3. The corresponding divisor (1) when remainder is 0 is the HCF.
Q5

How to find the HCF of 3 and 7 by prime factorisation?

To find the HCF of 3 and 7, we need to find the prime factorisation of the given numbers .i.e 3 = 3; 7 = 7.
⇒ There is no common prime factor for 3 and 7. Hence, HCF (3, 7) = 1.

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