The HCF of 396 and 1080 is 36. The numbers 396 and 1080 are divisible evenly by the HCF. The teachers use simple language to explain the concepts to help students memorise them well. The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396, and the factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080. The HCF of 396 and 1080 found using prime factorisation, long division and listing common factors are available for free here.
Also read: Highest common factor
What is the HCF of 396 and 1080?
The answer to this question is 36. Various methods used to find the HCF of 396 and 1080 are given here in a stepwise format. The HCF of 396 and 1080 is 36, which divides the given numbers.
How to Find HCF of 396 and 1080?
The methods used to find the HCF of 396 and 1080 are:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 396 and 1080 by Prime Factorisation Method
The prime factorisation of 396 and 1080 is:
396 = 2 × 2 × 3 × 3 × 11
1080 = 2 × 2 × 2 × 3 × 3 × 3 × 5
Common prime factors of 396 and 1080 = 2, 2, 3, 3
Hence, HCF (396, 1080) = 2 × 2 × 3 × 3 = 36
HCF of 396 and 1080 by Long Division Method
With the help of division, the numbers (396, 1080) have to be divided using their factors to get the HCF. The HCF of 396 and 1080 is the divisor we obtain when the remainder is zero after repeated division.
No further division can be done.
Hence, HCF (396, 1080) = 36
HCF of 396 and 1080 by Listing Common Factors
The HCF of 396 and 1080 by listing common factors is available here.
Factors of 397: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Factors of 1080: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080
There are 9 common factors of 396 and 1080, and they are 1, 2, 3, 4, 6, 9, 12, 18 and 36.
Therefore, the highest common factor of 396 and 1080 is 36.
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Video Lesson on Properties of HCF and LCM
HCF of 396 and 1080 Solved Example
Question: If HCF = 36 and product of two numbers = 427680, find the LCM.
Solution:
Given
HCF = 36
Product = 427680
We know that
HCF × LCM = Product
LCM = Product/HCF
LCM = 427680/36
LCM = 11880
Hence, the LCM is 11880.
Frequently Asked Questions on HCF of 396 and 1080
What is the HCF of 396 and 1080?
Find the HCF of 396 and 1080 using the long division method.
List the methods used to find HCF of 396 and 1080.
In 100, 27, 170, 36, 111, 82, find the HCF of 396 and 1080.
What is the relation between HCF and LCM of 396 and 1080?
The relation between HCF and LCM of 396 and 1080 is:
HCF × LCM = 396 × 1080
HCF × LCM = 427680
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