HCF of 56 and 88

The HCF of 56 and 88 is 8. The highest common factor of 56 and 88 is the value which divides the two given numbers evenly, with zero as the remainder. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56, and the factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88. Students can learn the prime factorisation, long division and listing common factors methods used to find the HCF in this article for free. 

Also read: Highest common factor

What is the HCF 56 and 88?

The answer to this question is 8. The HCF of 56 and 88 determined using three methods are available in this article. The HCF of 56 and 88 is 8, which divides the given two numbers evenly.

How to Find HCF of 56 and 88?

The HCF of 56 and 88 can be found using the methods below:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 56 and 88 by Prime Factorisation Method

The prime factorisation of 56 and 88 is:

56 = 2 × 2 × 2 × 7

88 = 2 × 2 × 2 × 11

Common prime factors of 56 and 88 = 2, 2, 2

Hence, HCF (56, 88) = 2 × 2 × 2 = 8

HCF of 56 and 88 by Long Division Method

We can divide (56, 88) by the prime factors so that the HCF of 56 and 88 can be found using the division method. The divisor we get with zero as the remainder is the HCF of 56 and 88.

HCF of 56 and 88

No further division can be done. 

Hence, HCF (56, 88) = 8

HCF of 56 and 88 by Listing Common Factors

The HCF of 56 and 88 can be determined by listing common factors as given below:

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88

There are 4 common factors of 56 and 88, and they are 1, 2, 4 and 8. 

Therefore, the highest common factor of 56 and 88 is 8.

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Video Lesson on Properties of HCF and LCM

HCF of 56 and 88 Solved Example

Question: Find the HCF of 56 and 88 if the LCM is 616.

Solution:

Given

LCM = 616

We know that,

HCF × LCM = 56 × 88

HCF = (56 × 88)/616

HCF = 8

Hence, the HCF is 8.

Frequently Asked Questions on HCF of 56 and 88

Q1

What is the HCF of 56 and 88?

The HCF of 56 and 88 is 8.
Q2

Calculate the HCF of 56 and 88 using the long division method.

The HCF of 56 and 88 using the long division method is 88 divided by 56. The divisor 8 we get when the remainder is 0 is the HCF.
Q3

Write the methods used to find HCF of 56 and 88.

The methods used to find the HCF of 56 and 88 are Long Division, Listing Common Factors and Prime Factorisation.
Q4

If LCM = 616 and HCF = 8 for two numbers, find the other number when one number is 88.

Consider y as the other number

Given LCM = 616 and HCF = 8

HCF × LCM = 88 × y

y = (HCF × LCM)/ 88

y = (8 × 616)/ 88

y = 56

Therefore, the other number is 56.

Q5

Show the relation between HCF and LCM of 56 and 88.

The relation between HCF and LCM of 56 and 88 is:

HCF × LCM = 56 × 88

HCF × LCM = 4928

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