The HCF of 6 and 9 is 3. The greatest number that divides 6 and 9 perfectly, leaving no remainder, is known as the HCF of 6 and 9. The factors of 6 and 9 are 1, 2, 3, 6 and 1, 3, 9, respectively. The three most prevalent methods for determining the HCF of 6 and 9 are listing common factors, prime factorisation, and long division.
Also read: Highest common factor
What is the HCF of 6 and 9?
The answer to this question is 3. This article shows how to find the HCF of 6 and 9 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 9?
There are three methods to find the HCF of 6 and 9:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 6 and 9 by Prime Factorisation Method
The prime factorisation of 6 and 9 is given by:
Prime factorisation of 6 = (2 × 3)
Prime factorisation of 9 = (3 × 3)
The only common prime factor of 6 and 9 is 3.
Hence, the HCF of 6 and 9 is 3.
HCF (6, 9) = 3
HCF of 6 and 9 by Long Division Method
The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is the HCF of 6 and 9.
No further division can be done.
Hence, HCF (6, 9) =3
HCF of 6 and 9 by Listing Common Factors
To calculate the HCF of 6 and 9 by listing out the common factors, list the factors as shown below:
Factors of 6: 1, 2, 3, 6
Factors of 9: 1, 3, 9
There are 2 common factors of 6 and 9, and they are 1 and 3. Therefore, the highest common factor of 6 and 9 is 3.
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Video Lesson on Properties of HCF and LCM
HCF of 6 and 9 Solved Example
Question: Find the highest number that divides 6 and 9 exactly.
Solution:
The highest number that divides 6 and 9 exactly is their highest common factor, i.e. HCF of 6 and 9.
Factors of 6 and 9:
Factors of 6 = 1, 2, 3, 6
Factors of 9 = 1, 3, 9
Therefore, the HCF of 6 and 9 is 3.
Frequently Asked Questions on HCF of 6 and 9
What is the HCF of 6 and 9?
How to find the HCF of 6 and 9 by long division method?
What are the methods to find HCF of 6 and 9?
By Long Division
By Listing Common Factors
By Prime Factorisation
How to find the HCF of 6 and 9 by prime factorisation?
⇒ Since 3 is the only common prime factor of 6 and 9, the HCF (6, 9) = 3.
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