The HCF of 12 and 36 is 12. The greatest number that divides 12 and 36 perfectly without leaving a remainder is the HCF of 12 and 36. The factors of 12 and 36 are 1, 2, 3, 4, 6, 12, and 1, 2, 3, 4, 6, 9, 12, 18, 36, respectively. The listing common factors, prime factorisation and long division are the three most frequent methods used for calculating the HCF of 12 and 36.
Also read: Highest common factor
What is the HCF of 12 and 36?
The answer to this question is 12. This article shows how to find the HCF of 12 and 36 using various methods for your reference. The greatest of all their common factors is the Highest Common Factor (HCF) of two or more numbers.
How to Find HCF of 12 and 36?
There are three methods to find the HCF of 12 and 36:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 12 and 36 by Prime Factorisation Method
The prime factorisation of 12 and 36 is given by:
Prime factorisation of 12 = (2 × 2 × 3)
Prime factorisation of 36 = (2 × 2 × 3 × 3)
The common prime factors of 12 and 36 are 2, 2 and 3.
Hence, the HCF of 12 and 36 is 2 × 2 × 3 = 12
HCF (12, 36) = 12
HCF of 12 and 36 by Long Division Method
The divisor that we get when the remainder is 0 after doing long division repeatedly is the HCF of 12 and 36.
No further division can be done.
Hence, HCF (12, 36) = 12
HCF of 12 and 36 by Listing Common Factors
To calculate the HCF of 12 and 36 by listing common factors, list the factors as shown below:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
There are 6 common factors of 12 and 36, and they are 1, 2, 3, 4, 6, and 12. Therefore, the Highest Common Factor of 12 and 36 is 12.
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Video Lesson on Properties of HCF and LCM
HCF of 12 and 36 Solved Example
Question: The product of two numbers is 432. If their HCF is 12, what is their LCM?
Solution:
Given: HCF = 12 and product of numbers = 432
∵ LCM × HCF = product of numbers
⇒ LCM = Product/HCF = 432/12 = 36
Therefore, the LCM is 36.
Frequently Asked Questions on HCF of 12 and 36
What is the HCF of 12 and 36?
What is the relation between LCM and HCF of 12 and 36?
What are the methods to find HCF of 12 and 36?
Long Division
Listing Common Factors
Prime Factorisation
If the HCF of 36 and 12 is 12, find its LCM.
The HCF of 36 and 12 = 12
⇒ 12 × LCM(36, 12) = 432
LCM(36, 12) = 432/12 = 36
Therefore, LCM = 36
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