HCF of 255 and 867

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.

Related Articles

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

Video Lesson on Properties of HCF and LCM

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.