HCF of 6 and 7

The HCF of 6 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 6 and 7. The highest number that divides 6 and 7 perfectly, leaving no remainder, is known as the HCF of 6 and 7. 1, 2, 3, 6, and 1, 7, respectively, are the factors of 6 and 7.

Also read: Highest common factor

What is the HCF of 6 and 7?

The answer to this question is 1. This article shows how to find the HCF of 6 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 6 and 7?

There are three methods to find the HCF of 6 and 7:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 6 and 7 by Prime Factorisation Method

The prime factorisation of 6 and 7 is given by:

Prime factorisation of 6 = (2 × 3)

Prime factorisation of 7 = (7)

Hence, the HCF of 6 and 7 is 1.

HCF (6, 7) = 1

HCF of 6 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 6 and 7.

HCF of 6 and 7

No further division can be done. 

Hence, HCF (6, 7) = 1

HCF of 6 and 7 by Listing Common Factors

To calculate the HCF of 6 and 7 by listing common factors, list the factors as shown below:

Factors of 6: 1, 2, 3, 6

Factors of 7: 1, 7

Since 1 is the only common factor between 6 and 7, the Highest Common Factor of 6 and 7 is 1.

Related Articles

Video Lesson on Properties of HCF and LCM

HCF of 6 and 7 Solved Example

The product of two numbers is 42. If their HCF is 1, what is their LCM?

Solution:

Given: HCF = 1 and product of numbers = 42

∵ LCM × HCF = product of numbers

⇒ LCM = Product/HCF = 42/1

Therefore, the LCM is 42.

Frequently Asked Questions on HCF of 6 and 7

Q1

What is the HCF of 6 and 7?

The HCF of 6 and 7 is 1. To calculate the Highest Common Factor of 6 and 7, we need to factor each number (factors of 6 = 1, 2, 3, 6; factors of 7 = 1, 7) and choose the highest factor that exactly divides both 6 and 7 .i.e 1.
Q2

How to find the HCF (Highest Common Factor) of 6 and 7 by prime factorisation?

To find the HCF of 6 and 7, we need to find the prime factorisation of the given numbers .i.e 6 = 2 × 3; 7 = 7.
⇒ There is no common prime factor for 6 and 7. Hence, HCF (6, 7) = 1.
Q3

What are the methods to find the HCF of 6 and 7?

There are three commonly used methods to find the HCF of 6 and 7. They are:
Long Division
Listing Common Factors
Prime Factorisation
Q4

What is the relation between LCM and HCF of 6 and 7?

The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF (Highest Common Factor) of 6 and 7 .i.e HCF × LCM = 6 × 7.
Q5

If the HCF of 7 and 6 is 1, find its LCM.

HCF(7, 6) × LCM(7, 6) = 7 × 6
The HCF of 7 and 6 = 1
⇒ 1 × LCM(7, 6) = 42
Therefore, LCM = 42

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