The HCF of 12, 18 and 24 is 6. The numbers 12, 18 and 24 are divisible equally by the HCF value. The factors of 12 are 1, 2, 3, 4, 6, 12, the factors of 18 are 1, 2, 3, 6, 9, 18, and the factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The HCF of 12, 18 and 24 calculated using prime factorisation, long division and listing common factors are given here in a clear manner for a good understanding among students.
Also read: Highest common factor
What is the HCF 12, 18 and 24?
The answer to this question is 6. The methods used to find the HCF of 12, 18 and 24 are given in this article for your reference. The HCF of 12, 18 and 24 is 6, which divides the three numbers evenly.
How to Find HCF of 12, 18 and 24?
The methods used to find the HCF of 12, 18 and 24 are:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 12, 18 and 24 by Prime Factorisation Method
The prime factorisation of 12, 18 and 24, is given by:
12 = 2 × 2 × 3
18 = 2 × 3 × 3
24 = 2 × 2 × 2 × 3
Common factors = 2, 3
HCF (12, 18, 24) = 2 × 3 = 6
HCF of 12, 18 and 24 by Long Division Method
The numbers (12, 18, 24) divided by the prime factors will help you get the HCF of 12, 18 and 24. The divisor after repeated long division with zero as the remainder is the HCF.
Let us first divide 24 by 12.
Again divide 18 by the HCF 12
No further division can be done.
Hence, HCF (12, 18, 24) = 6
HCF of 12, 18 and 24 by Listing Common Factors
You can calculate the HCF of 12, 18 and 24, by listing common factors as shown below:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
There are 4 common factors of 12, 18 and 24, and they are 1, 2, 3 and 6.
Therefore, the highest common factor of 12, 18 and 24 is 6.
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- Prime Factorisation
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Video Lesson on Properties of HCF and LCM
HCF of 12, 18 and 24 Solved Example
Question: What is the HCF of 12, 18 and 24 if the LCM is 72?
Solution:
Given
LCM = 72
We know that,
HCF × LCM = 12 × 18 × 24
HCF = (12 × 18 × 24)/72
HCF = 6
Hence, the HCF is 6.
Frequently Asked Questions on HCF of 12, 18 and 24
What is the HCF of 12, 18 and 24?
What is the HCF of 12, 18 and 24 using the long division method?
List the methods to find HCF of 12, 18 and 24.
Among 36, 6, 40, 73, 30, 44, find the HCF of 12, 18 and 24.
Show the relation between HCF and LCM of 12, 18 and 24.
The relation between HCF and LCM of 12, 18 and 24 is:
HCF × LCM = 12 × 18 × 24
HCF × LCM = 5184
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