HCF of 396 and 1080

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.

LCM of 396 and 1080

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.

Related Articles

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

Q1

What is the HCF of 396 and 1080?

The HCF of 396 and 1080 is 36.
Q2

Find the HCF of 396 and 1080 using the long division method.

To find the HCF of 396 and 1080 using the long division method, we have to divide 1080 by 396, and the divisor we obtain with the remainder as zero is the HCF value.
Q3

List the methods used to find HCF of 396 and 1080.

The methods used to find the HCF of 396 and 1080 are Long Division, Listing Common Factors and Prime Factorisation.
Q4

In 100, 27, 170, 36, 111, 82, find the HCF of 396 and 1080.

The number which divides 396 and 1080 with the remainder zero is the HCF. The number 36 satisfies this condition.
Q5

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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