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

## 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

Q1

### What is the HCF of 3 and 9?

The HCF of 3 and 9 is 3. To calculate the HCF (Highest Common Factor) of 3 and 9, we need to factor each number (factors of 3 = 1, 3; factors of 9 = 1, 3, 9) and choose the highest factor that exactly divides both 3 and 9 .i.e 3.

Q2

### If the HCF of 9 and 3 is 3, find its LCM.

HCF(9, 3) × LCM(9, 3) = 9 × 3

The HCF of 9 and 3 = 3

⇒ 3 × LCM(9, 3) = 27

Therefore, LCM = 9

Q3

### How to find the HCF of 3 and 9 by prime factorisation?

To find the HCF of 3 and 9, we need to find the prime factorisation of the given numbers .i.e 3 = 3; 9 = 3 × 3.

⇒ 3 is the only common prime factor of 3 and 9. Hence, HCF (3, 9) = 3.

Q4

### What is the relation between LCM and HCF of 3 and 9?

The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF (Highest Common Factor) of 3 and 9 .i.e HCF × LCM = 3 × 9.

Q5

### What are the methods to find HCF of 3 and 9?

There are three commonly used methods to find the HCF of 3 and 9. They are:

Long Division

Listing Common Factors

Prime Factorisation