The HCF of 6 and 8 is 2. The greatest possible number that divides 6 and 8 perfectly without any remainder is the HCF of 6 and 8. The highest number that divides 6 and 8 perfectly, leaving no remainder, is known as the HCF of 6 and 8. The factors of 6 and 8 are 1, 2, 3, 6, and 1, 2, 4, 8, respectively.
Also read: Highest common factor
What is the HCF of 6 and 8?
The answer to this question is 2. This article shows how to find the HCF of 6 and 8 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 8?
There are three methods to find the HCF of 6 and 8:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 6 and 8 by Prime Factorisation Method
The prime factorisation of 6 and 8 is given by:
Prime factorisation of 6 = (2 × 3)
Prime factorisation of 8 = (2 × 2 × 2)
Hence, the HCF of 6 and 8 is 2.
HCF (6, 8) = 2
HCF of 6 and 8 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 8.
No further division can be done.
Hence, HCF (6, 8) = 2
HCF of 6 and 8 by Listing Common Factors
To calculate the HCF of 6 and 8 by listing common factors, list the factors as shown below:
Factors of 6: 1, 2, 3, 6
Factors of 8: 1, 2, 4, 8
There are 2 common factors of 6 and 8, and they are 1 and 2. Therefore, the Highest Common Factor of 6 and 8 is 2.
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Video Lesson on Properties of HCF and LCM
HCF of 6 and 8 Solved Example
Question: For two numbers, HCF = 2 and LCM = 24. If one number is 6, find the other number.
Solution:
Given: HCF (y, 6) = 2 and LCM (y, 6) = 24
∵ HCF × LCM = 6 × (y)
⇒ y = (HCF × LCM)/6
⇒ y = (2 × 24)/6
⇒ y = 8
Therefore, the other number is 8.
Frequently Asked Questions on HCF of 6 and 8
Q1
What is the HCF of 6 and 8?
The HCF of 6 and 8 is 2. To calculate the Highest Common Factor of 6 and 8, we need to factor each number (factors of 6 = 1, 2, 3, 6 and factors of 8 = 1, 2, 4, 8) and choose the highest factor that exactly divides both 6 and 8 .i.e 2.
Q2
How to find HCF of 6 and 8 by prime factorisation?
To find the HCF of 6 and 8, we will find the prime factorisation of the given numbers .i.e 6 = 2 × 3; 8 = 2 × 2 × 2.
⇒ 2 is the only common prime factor of 6 and 8. Hence, HCF (6, 8) = 2.
Q3
What are the methods to find HCF of 6 and 8?
There are three commonly used methods to find the HCF of 6 and 8. They are:
Long Division
Listing Common Factors
Prime Factorisation
Q4
If the HCF of 8 and 6 is 2, find its LCM.
HCF(8, 6) × LCM(8, 6) = 8 × 6
The HCF of 8 and 6 = 2
⇒ 2 × LCM(8, 6) = 48
Therefore, LCM = 24
Q5
What is the relation between LCM and HCF of 6 and 8?
The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF(Highest Common Factor) of 6 and 8 .i.e HCF × LCM = 6 × 8.
