HCF of 2 and 5

The HCF of 2 and 5 is 1. The integer value, which divides 2 and 5, indicates the HCF. Simple and easy-to-understand steps are used in this article to help students learn it well. The factors of 2 are 1, 2, and the factors of 5 are 1, 5. You can find the HCF of the given numbers using prime factorisation, long division and listing common factors. Each method is explained separately in order to clear the doubts which might arise in students while learning these concepts.

Also read: Highest common factor

What is the HCF of 2 and 5?

The answer to this question is 1. The steps followed to get the HCF of 2 and 5 using the methods listing common factors, prime factorisation and long division are given in this article. The HCF of 2 and 5 is 1, which divides the given numbers exactly.

How to Find HCF of 2 and 5?

The methods to determine the HCF of 2 and 5 are as follows:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 2 and 5 by Prime Factorisation Method

The prime factorisation of 2 and 5 is given by:

2 = 1 × 2

5 = 1 × 5

Therefore, HCF (2, 5) = 1

HCF of 2 and 5 by Long Division Method

The HCF of 2 and 5 can be obtained by dividing the numbers by their prime factors. The divisor value 1 we get with zero as the remainder indicates the HCF.

HCF of 2 and 5

No further division can be done.

Hence, HCF (2, 5) = 1

HCF of 2 and 5 by Listing Common Factors

Let us calculate the HCF of 2 and 5 by listing common factors as given here:

Factors of 2: 1, 2

Factors of 5: 1, 5

There is 1 common factor of 2 and 5, and that is 1.

Therefore, the highest common factor of 2 and 5 is 1.

Related Articles

Video Lesson on Properties of HCF and LCM

HCF of 2 and 5 Solved Example

Question: If HCF = 1 and product of two numbers = 10, find the LCM.

Solution:

Given

HCF = 1

Product = 10

We know that

HCF × LCM = Product

LCM = Product/HCF

LCM = 10/1

LCM = 10

Hence, the LCM is 10.

Frequently Asked Questions on HCF of 2 and 5

Q1

What is the HCF of 2 and 5?

The HCF of 2 and 5 is 1.
Q2

Find the HCF of 2 and 5 with the help of the long division method.

With the help of the long division method, the HCF of 2 and 5 is the value we obtain when 5 is divided by 2. The divisor 1 when remainder is 0 is the HCF.
Q3

Which methods can be used to find HCF of 2 and 5?

The methods which can be used to find the HCF of 2 and 5 are Long Division, Listing Common Factors and Prime Factorisation.
Q4

If LCM = 10 and HCF = 1 for two numbers, determine the other number when one number is 2.

Consider y as the other number

Given LCM = 10 and HCF = 1

HCF × LCM = 2 × y

y = (HCF × LCM)/ 2

y = (1 × 10)/ 2

y = 5

Therefore, the other number is 5.

Q5

Show the relation between HCF and LCM of 2 and 5.

The relation between HCF and LCM of 2 and 5 is

HCF × LCM = 2 × 5

HCF × LCM = 10

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