The HCF of 255 and 867 is 51. The highest positive integer, which divides 255 and 867, evenly, is the HCF. The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255, and the factors of 867 are 1, 3, 17, 51, 289, 867. The method of prime factorisation, long division and listing common factors are shown here in a systematic format as it is very crucial in the HCF concept.
Also read: Highest common factor
What is the HCF of 255 and 867?
The answer to this question is 51. Students will be able to calculate the HCF of 255 and 867 by reading this article thoroughly. The HCF of 255 and 867 is 51, which divides the given numbers.
How to Find HCF of 255 and 867?
The HCF of 255 and 867 can be calculated using the following methods:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 255 and 867 by Prime Factorisation Method
The prime factorisation of 255 and 867 is given by:
255 = 3 × 5 × 17
867 = 3 × 17 × 17
Common prime factors of 255 and 867 = 3, 17
Hence, HCF (255, 867) = 3 × 17 = 51
HCF of 255 and 867 by Long Division Method
Divide (255, 867) using the prime factors to get the HCF of 255 and 867. The divisor with zero as the remainder indicates the HCF of 255 and 867.
No further division can be done.
Hence, HCF (255, 867) = 51
HCF of 255 and 867 by Listing Common Factors
The HCF of 255 and 867 by listing common factors is given below:
Factors of 255: 1, 3, 5, 15, 17, 51, 85, 255
Factors of 867: 1, 3, 17, 51, 289, 867
There are 4 common factors of 255 and 867, and they are 1, 3, 17 and 51.
Therefore, the highest common factor of 255 and 867 is 51.
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Video Lesson on Properties of HCF and LCM
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HCF of 255 and 867 Solved Example
Question: Find the HCF of 255 and 867 if the LCM is 4335.
Solution:
Given
LCM = 4335
We know that
HCF × LCM = 255 × 867
HCF = (255 × 867)/4335
HCF = 51
Hence, the HCF is 51.
Frequently Asked Questions on HCF of 255 and 867
What is the HCF of 255 and 867?
Determine the HCF of 255 and 867 using the long division method.
Write the methods to find HCF of 255 and 867.
If LCM = 4335 and HCF = 51 for two numbers, determine the other number when one number is 255.
Consider y as the other number
Given LCM = 4335 and HCF = 51
HCF × LCM = 255 × y
y = (HCF × LCM)/ 255
y = (51 × 4335)/ 255
y = 867
Therefore, the other number is 867.
Show the relation between HCF and LCM of 255 and 867.
The relation between HCF and LCM of 255 and 867 is
HCF × LCM = 255 × 867
HCF × LCM = 221085
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