HCF of 18 and 27

The HCF of 18 and 27 is 9. The greatest integer which can divide 18 and 27 evenly is the HCF. The factors of 18 are 1, 2, 3, 6, 9, and 18, and the factors of 27 are 1, 3, 9, and 27. To find the HCF value, we can use the long division method, prime factorisation and listing common factors.

Also read: Highest common factor

What is the HCF of 18 and 27?

The answer to this question is 9. The HCF of 18 and 27 using three methods are given below for better conceptual knowledge among students. The largest possible number that divides 18 and 27 exactly is the HCF of 18 and 27.

How to Find HCF of 18 and 27?

The methods to find the HCF of 18 and 27 are:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 18 and 27 by Prime Factorisation Method

The prime factorisation of 18 and 27 is:

18 = 2 × 3 × 3

27 = 3 × 3 × 3

Common prime factors of 18 and 27 are 3 and 3.

Hence, HCF (18, 27) = 3 x 3 = 9

HCF of 18 and 27 by Long Division Method

The numbers (18, 27) should be divided by the factors to find the HCF of 18 and 27. The value of the divisor we get when the remainder is zero is the HCF of 18 and 27.

No further division can be done.

Hence, HCF (18, 27) = 9

HCF of 18 and 27 by Listing the Factors

The value of HCF of 18 and 27 found by listing the common factors are shown below:

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 27: 1, 3, 9, 27

There are 3 common factors of 18 and 27, and they are 1, 3 and 9.

Therefore, the highest common factor of 18 and 27 is 9.

Related Articles

• Prime Factorisation 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 18 and 27 Solved Example

Question: If the product of two numbers = 486 and HCF = 9, find the LCM.

Solution:

Given

Product of two numbers = 486

HCF = 9

HCF × LCM = Product of two numbers

9 × LCM = 486

LCM = 486/9

LCM = 54

Hence, the LCM is 54.