The HCF of 3 and 9 is 3. The greatest number that divides 3 and 9 perfectly, leaving no remainder, is known as the HCF of 3 and 9. Listing common factors, prime factorisation, and long division are the three most frequent methods for calculating the HCF of 3 and 9. The factors of 3 and 9 are 1, 3, and 1, 3, 9, respectively.
Also read: Highest common factor
What is the HCF of 3 and 9?
The answer to this question is 3. This article shows how to find the HCF of 3 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 3 and 9?
There are three methods to find the HCF of 3 and 9:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 3 and 9 by Prime Factorisation Method
The prime factorisation of 3 and 9 is given by:
Prime factorisation of 3 = (3)
Prime factorisation of 9 = (3 × 3)
Hence, the HCF of 3 and 9 is 3.
HCF (3, 9) = 3
HCF of 3 and 9 by Long Division Method
The divisor that we get when the remainder is 0 after doing long division repeatedly is the HCF of 3 and 9.
No further division can be done.
Hence, HCF (3, 9) = 3
HCF of 3 and 9 by Listing Common Factors
To calculate the HCF of 3 and 9 by listing common factors, list the factors as shown below:
Factors of 3: 1, 3
Factors of 9: 1, 3, 9
There are 2 common factors of 3 and 9, and they are 1 and 3. Therefore, the Highest Common Factor of 3 and 9 is 3.
Related Articles
- HCF
- HCF of Two Numbers
- HCF and LCM
- Relation between HCF and LCM
- GCF calculator
Video Lesson on Properties of HCF and LCM
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HCF of 3 and 9 Solved Example
Find the highest number that divides 3 and 9 exactly.
Solution:
The highest number that divides 3 and 9 exactly is their Highest Common Factor .i.e HCF of 3 and 9.
⇒ Factors of 3 and 9:
Factors of 3 = 1, 3
Factors of 9 = 1, 3, 9
Therefore, the HCF of 3 and 9 is 3.
Frequently Asked Questions on HCF of 3 and 9
What is the HCF of 3 and 9?
If the HCF of 9 and 3 is 3, find its LCM.
The HCF of 9 and 3 = 3
⇒ 3 × LCM(9, 3) = 27
Therefore, LCM = 9
How to find the HCF of 3 and 9 by prime factorisation?
⇒ 3 is the only common prime factor of 3 and 9. Hence, HCF (3, 9) = 3.
What is the relation between LCM and HCF of 3 and 9?
What are the methods to find HCF of 3 and 9?
Long Division
Listing Common Factors
Prime Factorisation
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