HCF of 3 and 9

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.

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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.