A day full of math games & activities. Find one near you.

HCF of 867 and 255

HCF of 867 and 255 is the largest possible number that divides 867 and 255 exactly without any remainder. The factors of 867 and 255 are 1, 3, 17, 51, 289, 867 and 1, 3, 5, 15, 17, 51, 85, 255 respectively. There are 3 commonly used methods to find the HCF of 867 and 255 - Euclidean algorithm, prime factorization, and long division.

1.	HCF of 867 and 255
2.	List of Methods
3.	Solved Examples
4.	FAQs

What is HCF of 867 and 255?

Answer: HCF of 867 and 255 is 51.

Explanation:

The HCF of two non-zero integers, x(867) and y(255), is the highest positive integer m(51) that divides both x(867) and y(255) without any remainder.

Methods to Find HCF of 867 and 255

The methods to find the HCF of 867 and 255 are explained below.

Listing Common Factors
Long Division Method
Prime Factorization Method

HCF of 867 and 255 by Listing Common Factors

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.

HCF of 867 and 255 by Long Division

HCF of 867 and 255 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.

Step 1: Divide 867 (larger number) by 255 (smaller number).
Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (255) by the remainder (102).
Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (51) is the HCF of 867 and 255.

HCF of 867 and 255 by Prime Factorization

Prime factorization of 867 and 255 is (3 × 17 × 17) and (3 × 5 × 17) respectively. As visible, 867 and 255 have common prime factors. Hence, the HCF of 867 and 255 is 3 × 17 = 51.

☛ Also Check:

HCF of 867 and 255 Examples

Example 1: Find the HCF of 867 and 255, if their LCM is 4335.

Solution:

∵ LCM × HCF = 867 × 255
⇒ HCF(867, 255) = (867 × 255)/4335 = 51
Therefore, the highest common factor of 867 and 255 is 51.
Example 2: Find the highest number that divides 867 and 255 exactly.

Solution:

The highest number that divides 867 and 255 exactly is their highest common factor, i.e. HCF of 867 and 255.
⇒ Factors of 867 and 255:
- Factors of 867 = 1, 3, 17, 51, 289, 867
- Factors of 255 = 1, 3, 5, 15, 17, 51, 85, 255
Therefore, the HCF of 867 and 255 is 51.
Example 3: The product of 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.

go to slide go to slide go to slide

Ready to see the world through math’s eyes?

Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything.

Book a Free Trial Class

FAQs on HCF of 867 and 255

What is the HCF of 867 and 255?

The HCF of 867 and 255 is 51. To calculate the HCF (Highest Common Factor) of 867 and 255, we need to factor each number (factors of 867 = 1, 3, 17, 51, 289, 867; factors of 255 = 1, 3, 5, 15, 17, 51, 85, 255) and choose the highest factor that exactly divides both 867 and 255, i.e., 51.

How to Find the HCF of 867 and 255 by Prime Factorization?

To find the HCF of 867 and 255, we will find the prime factorization of the given numbers, i.e. 867 = 3 × 17 × 17; 255 = 3 × 5 × 17.
⇒ Since 3, 17 are common terms in the prime factorization of 867 and 255. Hence, HCF(867, 255) = 3 × 17 = 51
☛ What is a Prime Number?

How to Find the HCF of 867 and 255 by Long Division Method?

To find the HCF of 867, 255 using long division method, 867 is divided by 255. The corresponding divisor (51) when remainder equals 0 is taken as HCF.

What are the Methods to Find HCF of 867 and 255?

There are three commonly used methods to find the HCF of 867 and 255.

By Euclidean Algorithm
By Long Division
By Prime Factorization

What is the Relation Between LCM and HCF of 867, 255?

The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF of 867 and 255, i.e. HCF × LCM = 867 × 255.

If the HCF of 255 and 867 is 51, Find its LCM.

HCF(255, 867) × LCM(255, 867) = 255 × 867
Since the HCF of 255 and 867 = 51
⇒ 51 × LCM(255, 867) = 221085
Therefore, LCM = 4335
☛ Highest Common Factor Calculator

Download FREE Study Materials

HCF and LCM

Math worksheets and
visual curriculum