HCF of 3 and 8

The HCF of 3 and 8 is 1. HCF is the greatest integer that can divide 3 and 8 evenly, and that number is 1. HCF stands for Highest Common Factor. It is also known as GCF (Greatest Common Factor) or GCD (Greatest Common Divisor). For a given set of numbers 3 and 8, there are no common factors other than 1. Hence, 1 is the HCF for 3 and 8. You can refer to GCF for more details.

What is the HCF of 3 and 8?

The Highest Common Factor, also known as the Greatest Common Factor of 3 and 8, is 1. 

How to Find HCF of 3 and 8?

There are three methods to find the HCF of 3 and 8:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 3 and 8 by Prime Factorisation Method

In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 3 and 8 can be expressed as:

3 = 1 × 3

8 = 2 × 2 × 2 

The common prime factor of 3 and 8 is 1. Therefore, HCF will be:

HCF (3, 8) = 1

HCF of 3 and 8 by Long Division Method

In the long division method, the following steps are followed.

  1. From the given set of numbers, the smallest number becomes the divisor, and the larger number becomes the dividend.
  2. In the next step, the smaller number becomes the dividend, and the remainder becomes the divisor. 
  3. The above step is followed until the remainder is zero. 
  4. The last divisor would be the HCF.

The HCF of 3 and 8 by long division method is:

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Therefore, HCF (3, 8) = 1

HCF of 3 and 8 by Listing Common Factors

By listing common factors of given numbers, we can identify the Highest/Greatest/Biggest Common Factor, which is the HCF. Below is the list of factors for 3 and 8:

Factors of 3: 1 and 3

Factors of 8: 1, 2, 4 and 8

Therefore, HCF (3, 8) = 1

Related Articles

Video Lesson on Properties of HCF and LCM

Solved Examples

1. Find the greatest number that divides 3 and 8.

Solution: The greatest number that divides any 2 numbers is nothing but the GCF/HCF, which is 1 for 3 and 8. 

2. What is the GCF of 15 and 30?

Solution: The GCF of 15 and 30 is 15.

Frequently Asked Questions on HCF of 3 and 8

Q1

What is the HCF of 3 and 8?

The HCF of 3 and 8 is 1.
Q2

Is the HCF of 3 and 5 the same as the HCF of 5 and 8?

Yes. The HCF of 3 and 5 is 1, and so is the HCF of 5 and 8. They are the same.
Q3

Is the HCF of 3 and 8 the same as the LCM of 3 and 8?

No. The Highest Common Factor (HCF) of 3 and 8 is 1, and the Least Common Multiple (LCM) of 3 and 8 is 24.
Q4

What are the common factors of 3 and 8?

1 is the common factor of 3 and 8.
Q5

What are the three common multiples of 3 and 8?

24, 48 and 72 are the common multiples of 3 and 8.

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