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.
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.
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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
What is the HCF of 6 and 7?
How to find the HCF (Highest Common Factor) of 6 and 7 by prime factorisation?
⇒ There is no common prime factor for 6 and 7. Hence, HCF (6, 7) = 1.
What are the methods to find the HCF of 6 and 7?
Long Division
Listing Common Factors
Prime Factorisation
What is the relation between LCM and HCF of 6 and 7?
If the HCF of 7 and 6 is 1, find its LCM.
The HCF of 7 and 6 = 1
⇒ 1 × LCM(7, 6) = 42
Therefore, LCM = 42
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