HCF of 135 and 255

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.

Related Articles

• HCF
• HCF of Two Numbers
• HCF and LCM
• Relation between HCF and LCM
• GCF Calculator

Video Lesson on Properties of HCF and LCM

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.