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.
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.
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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.
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