HCF of 867 and 255

The HCF of 867 and 255 is 51. The greatest possible number that divides 867 and 255 perfectly without any remainder is the HCF of 867 and 255. 1, 3, 17, 51, 289, 867 and 1, 3, 5, 15, 17, 51, 85, 255 are the factors of 867 and 255, respectively. The listing common factors, prime factorisation, and long division are the three most frequent methods for calculating the HCF of 867 and 255.

Also read: Highest common factor

What is the HCF of 867 and 255?

The answer to this question is 51. This article shows the HCF of 867 and 255 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 867 and 255?

There are three methods to find the HCF of 867 and 255:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 867 and 255 by Prime Factorisation Method

The prime factorisation of 867 and 255 is given by:

Prime factorisation of 867 = (3 × 17 × 17)

Prime factorisation of 255 = (3 × 5 × 17)

Hence, the HCF of 867 and 255 is 3 × 17 = 51.

HCF (867, 255) = 51

HCF of 867 and 255 by Long Division Method

The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is HCF of 867 and 255.

HCF of 867 and 255

No further division can be done. 

Hence, HCF (867, 255) = 51

HCF of 867 and 255 by Listing the Factors

To calculate the HCF of 867 and 255 by listing out the common factors, list the factors as shown below:

Factors of 867: 1, 3, 17, 51, 289, 867

Factors of 255: 1, 3, 5, 15, 17, 51, 85, 255

There are 4 common factors of 867 and 255, that are 1, 3, 17, and 51. Therefore, the highest common factor of 867 and 255 is 51.

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Video Lesson on Properties of HCF and LCM

HCF of 867 and 255 Solved Example

Question: The product of the two numbers is 221085. If their HCF is 51, what is their LCM?

Solution:

Given: HCF = 51 and product of numbers = 221085

LCM × HCF = product of numbers

⇒ LCM = Product/HCF = 221085/51

Therefore, the LCM is 4335.

Frequently Asked Questions on HCF of 867 and 255

Q1

What is the HCF of 867 and 255?

The HCF of 867 and 255 is 51. To calculate the HCF (Highest Common Factor) of 867 and 255, we need to factor each number (factors of 867 = 1, 3, 17, 51, 289, 867; factors of 255 = 1, 3, 5, 15, 17, 51, 85, 255) and choose the highest factor that exactly divides both 867 and 255, i.e. 51.
Q2

How to Find the HCF of 867 and 255 by Prime Factorisation?

To find the HCF of 867 and 255, we will find the prime factorisation of the given numbers, i.e. 867 = 3 × 17 × 17; 255 = 3 × 5 × 17.
⇒ Since 3, 17 are common terms in the prime factorisation of 867 and 255, HCF (867, 255) = 3 × 17 = 51
Q3

What are the Methods to Find HCF of 867 and 255?

There are three commonly used methods to find the HCF of 867 and 255.
By Long Division
By Listing Common Factors
By Prime Factorisation

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