The HCF of 3 and 6 is 3. The highest number that divides 3 and 6 perfectly, leaving no remainder, is known as the HCF of 3 and 6. The factors of 3 and 6 are 1, 3, and 1, 2, 3, and 6, respectively. The three most popular methods for determining the HCF of 3 and 6 are listing common factors, prime factorisation, and long division.
Also read: Highest common factor
What is the HCF of 3 and 6?
The answer to this question is 3. This article shows the HCF of 3 and 6 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 6?
There are three methods to find the HCF of 3 and 6:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 3 and 6 by Prime Factorisation Method
The prime factorisation of 3 and 6 is given by:
Prime factorisation of 3 = (3)
Prime factorisation of 6 = (2 × 3)
The only common prime factor of 3 and 6 is 3.
Hence, the HCF of 3 and 6 is 3.
HCF (3, 6) = 3
HCF of 3 and 6 by Long Division Method
The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is the HCF of 3 and 6.
No further division can be done.
Hence, HCF (3, 6) = 3
HCF of 3 and 6 by Listing Common Factors
To calculate the HCF of 3 and 6 by listing out the common factors, list the factors as shown below:
Factors of 3: 1, 3
Factors of 6: 1, 2, 3, 6
There are 2 common factors of 3 and 6, and they are 1 and 3. Therefore, the highest common factor of 3 and 6 is 3.
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Video Lesson on Properties of HCF and LCM
HCF of 3 and 6 Solved Example
The product of two numbers is 18. If their HCF is 3, what is their LCM?
Solution:
Given: HCF = 3 and product of numbers = 18
LCM × HCF = product of numbers
⇒ LCM = Product/HCF = 18/3 = 6
Therefore, the LCM is 6.
Frequently Asked Questions on HCF of 3 and 6
What is the HCF of 3 and 6?
What is the relation between LCM and HCF of 3, 6?
What are the methods to find HCF of 3 and 6?
By Long Division
By Listing Common Factors
By Prime Factorisation
How to find the HCF of 3 and 6 by Prime Factorisation?
⇒ Since 3 is the only common prime factor of 3 and 6, HCF (3, 6) = 3.
If the HCF of 6 and 3 is 3, find its LCM.
Since the HCF of 6 and 3 = 3
⇒ 3 × LCM(6, 3) = 18
Therefore, LCM = 18/3 = 6
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