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.
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
What is the HCF of 867 and 255?
How to Find the HCF of 867 and 255 by Prime Factorisation?
⇒ Since 3, 17 are common terms in the prime factorisation of 867 and 255, HCF (867, 255) = 3 × 17 = 51
What are the Methods to Find HCF of 867 and 255?
By Long Division
By Listing Common Factors
By Prime Factorisation
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