HCF of 8 and 15

The HCF of 8 and 15 is 1. The numbers 8 and 15 are evenly divisible by the HCF. The factors of 8 are 1, 2, 4, 8, and the factors of 15 are 1, 3, 5, 15. The methods used to calculate the HCF value are long division, prime factorisation and listing common factors. The articles at BYJU’S are designed by the teachers who aim to provide top materials for the students to learn.

Also read: Highest common factor

What is the HCF of 8 and 15?

The answer to this question is 1. The three methods used to find the HCF of 8 and 15 are given here in a clear-cut manner. The number which divides 8 and 15 evenly denotes the HCF of 8 and 15.

How to Find HCF of 8 and 15?

The methods to find the HCF of 8 and 15 are:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 8 and 15 by Prime Factorisation Method

The prime factorisation of 8 and 15 is:

8 = 2 × 2 × 2

15 = 3 × 5

There are no common prime factors.

There is no common prime factor of 8 and 15.

Hence, HCF (8, 15) = 1

HCF of 8 and 15 by Long Division Method

The numbers (8, 15), which have to be divided by the factors, give the HCF of 8 and 15. The value of the divisor when the remainder is zero is the HCF of 8 and 15.

No further division can be done.

Hence, HCF (8, 15) = 1

HCF of 8 and 15 by Listing Common Factors

The HCF of 8 and 15 by listing common factors is:

Factors of 8: 1, 2, 4, 8

Factors of 15: 1, 3, 5, 15

There is only 1 common factor of 8 and 15, and it is 1.

Therefore, the highest common factor of 8 and 15 is 1.

Related Articles

• Prime Factorization Calculator
• Properties of HCF and LCM
• Prime Factorisation and Division Method for HCF and LCM
• Prime Factorisation
• GCD Calculator

Video Lesson on Properties of HCF and LCM

HCF of 8 and 15 Solved Example

Question: If the product of two numbers = 120 and HCF = 1, find the LCM.

Solution:

Given

Product of two numbers = 120

HCF = 1

HCF × LCM = Product of two numbers

1 × LCM = 120

LCM = 120/1

LCM = 120

Hence, the LCM is 120.