The HCF of 4 and 9 is 1. The three most popular methods used for determining the HCF of 4 and 9 are listing common factors, prime factorisation and long division. The greatest number that divides 4 and 9 perfectly, leaving no remainder, is known as the HCF of 4 and 9. 4 and 9 have the factors 1, 2, 4, and 1, 3, 9, correspondingly.
Also read: Highest common factor
What is the HCF of 4 and 9?
The answer to this question is 1. This article shows how to find the HCF of 4 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 4 and 9?
There are three methods to find the HCF of 4 and 9:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 4 and 9 by Prime Factorisation Method
The prime factorisation of 4 and 9 is given by:
Prime factorisation of 4 = (2 × 2)
Prime factorisation of 9 = (3 × 3)
Hence, the HCF of 4 and 9 is 1.
HCF (4, 9) = 1
HCF of 4 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 4 and 9.
No further division can be done.
Hence, HCF (4, 9) = 1
HCF of 4 and 9 by Listing Common Factors
To calculate the HCF of 4 and 9 by listing common factors, list the factors as shown below:
Factors of 4: 1, 2, 4
Factors of 9: 1, 3, 9
Since 1 is the only common factor between 4 and 9, the Highest Common Factor of 4 and 9 is 1.
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HCF of 4 and 9 Solved Example
Find the highest number that divides 4 and 9 exactly.
Solution:
The highest number that divides 4 and 9 exactly is their Highest Common Factor .i.e HCF of 4 and 9.
⇒ Factors of 4 and 9:
Factors of 4 = 1, 2, 4
Factors of 9 = 1, 3, 9
Therefore, the HCF of 4 and 9 is 1.
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