HCF of 2 and 3

The HCF of 2 and 3 is 1. HCF of 2 and 3 is the largest possible number that divides 2 and 3 exactly without any remainder. The factors of 2 and 3 are 1, 2 and 1, 3, respectively. Listing common factors, long division, and prime factorisation are the three most prevalent methods for calculating the HCF of 2 and 3.

Also read: Highest common factor

What is the HCF of 2 and 3?

The answer to this question is 1. This article shows the HCF of 2 and 3 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 2 and 3?

There are three methods to find the HCF of 2 and 3:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 2 and 3 by Prime Factorisation Method

The prime factorisation of 2 and 3 is given by:

Prime factorisation of 2 = 2

Prime factorisation of 3 = 3

Hence, the HCF of 2 and 3 is 1

HCF (2, 3) = 1

HCF of 2 and 3 by Long Division Method

The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is the HCF of 2 and 3.

HCF of 2 and 3

No further division can be done. 

Hence, HCF (2, 3) = 1

HCF of 2 and 3 by Listing Common Factors

To calculate the HCF of 2 and 3 by listing out the common factors, list the factors as shown below

Factors of 2: 1, 2

Factors of 3: 1, 3

1 is the only common factor between 2 and 3.

Hence, the highest common factor of 2 and 3 is 1.

Related Articles

Video Lesson on Properties of HCF and LCM

HCF of 2 and 3 Solved Example

Question: For two numbers, HCF = 1 and LCM = 6. If one number is 3, find the other number.

Solution:

Given: HCF (z, 3) = 1 and LCM (z, 3) = 6

∵ HCF × LCM = 3 × (z)

⇒ z = (HCF × LCM)/3

⇒ z = (1 × 6)/3

⇒ z = 2

Therefore, the other number is 2.

Frequently Asked Questions on HCF of 2 and 3

Q1

What is the HCF of 2 and 3?

The HCF of 2 and 3 is 1. To calculate the highest common factor of 2 and 3, we need to factor each number (factors of 2 = 1, 2; factors of 3 = 1, 3) and choose the highest factor that exactly divides both 2 and 3, i.e. 1.
Q2

How to find the HCF of 2 and 3 by Prime Factorisation?

To find the HCF of 2 and 3, we will find the prime factorisation of the given numbers, i.e. 2 = 2; 3 = 3. ⇒ There is no common prime factor for 2 and 3. Hence, HCF (2, 3) = 1.
Q3

What are the methods to find HCF of 2 and 3?

There are three commonly used methods to find the HCF of 2 and 3. By Long Division By Listing Common Factors By Prime Factorisation

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*