The HCF of 135 and 255 is 15. The greatest number that divides 135 and 255 exactly and without a remainder is the HCF of these numbers. The factors of 135 and 255 are 1, 3, 5, 9, 15, 27, 45, 135 and 1, 3, 5, 15, 17, 51, 85, 255, respectively. Listing common factors, prime factorisation, and long division are the three most frequent methods for calculating the HCF of 135 and 255.
Also read: Highest common factor
What is the HCF of 135 and 255?
The answer to this question is 15. This article shows how to find the HCF of 135 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 135 and 255?
There are three methods to find the HCF of 135 and 255:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 135 and 255 by Prime Factorisation Method
The prime factorisation of 135 and 255 is given by:
Prime factorisation of 135 = (3 × 3 × 3 × 5)
Prime factorisation of 255 = (3 × 5 × 17)
Hence, the HCF of 135 and 255 is 3 × 5 = 15.
HCF (135, 255) = 15
HCF of 135 and 255 by Long Division Method
The divisor that we receive when the remainder becomes 0 after executing a long division repeatedly is the HCF of 135 and 255.
No further division can be done.
Hence, HCF (135, 255) = 15
HCF of 135 and 255 by Listing Common Factors
To calculate the HCF of 135 and 255 by listing out the common factors, list the factors as shown below:
Factors of 135 = 1, 3, 5, 9, 15, 27, 45, 135
Factors of 255 = 1, 3, 5, 15, 17, 51, 85, 255
Therefore, the HCF of 135 and 255 is 15.
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Video Lesson on Properties of HCF and LCM
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Solved Example
Find the HCF of 135 and 255, if their LCM is 2295.
Solution:
Given LCM × HCF = 135 × 255
⇒ HCF(135, 255) = (135 × 255)/2295 = 15
HCF(135, 255) = 34425/2295 = 15
Therefore, the highest common factor of 135 and 255 is 15.
Frequently Asked Questions on HCF of 135 and 255
What is the HCF of 135 and 255?
How to find the HCF of 135 and 255 by Prime Factorisation?
⇒ Since 3 and 5 are common factors in the prime factorisation of 135 and 255. HCF(135, 255) = 3 × 5 = 15
What are the methods to find the HCF of 135 and 255?
Long Division
Listing Common Factors
Prime Factorisation
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