HCF of 867 and 225

The HCF of 867 and 225 is 3. The integer which can divide 867 and 225 evenly is the HCF of 867 and 225. The factors of 867 are 1, 3, 17, 51, 289, 867, and the factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225. The methods to find the HCF are prime factorisation, long division and listing common factors. Students can obtain a clear-cut idea of the HCF concepts by referring to the articles available at BYJU’S.

Also read: Highest common factor

What is the HCF of 867 and 225?

The answer to this question is 3. In this article, the HCF of 867 and 225 is found using certain methods for your understanding. The HCF of 867 and 225 is 3, which divides both 867 and 225 evenly.

How to Find HCF of 867 and 225?

The three methods used to find the HCF of 867 and 225 are:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 867 and 225 by Prime Factorisation Method

The prime factorisation of 867 and 225 is given by:

867 = 3 × 17 × 17

225 = 3 × 3 × 5 × 5

Common prime factors = 3

Therefore, HCF (867, 225) = 3

HCF of 867 and 225 by Long Division Method

The given numbers (867, 225) should be divided using their prime factors to obtain the HCF value. The divisor when the remainder is zero after repeated long division is the HCF of 867 and 225.

HCF of 867 and 225

No further division can be done.

Hence, HCF (867, 225) = 3

HCF of 867 and 225 by Listing Common Factors

The steps to find the HCF of 867 and 225 by listing out the common factors are provided here:

Factors of 867: 1, 3, 17, 51, 289, 867

Factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, 225

There are 2 common factors of 867 and 225 that are 1 and 3.

Therefore, the highest common factor of 867 and 225 is 3.

Related Articles

Video Lesson on Properties of HCF and LCM

HCF of 867 and 225 Solved Example

Question: Calculate the HCF of 867 and 225 if the LCM is 65025.

Solution:

Given

LCM = 65025

We know that,

HCF × LCM = 867 × 225

HCF = (867 × 225)/65025 = 3

Hence, the HCF is 3.

Frequently Asked Questions on HCF of 867 and 225

Q1

What is the HCF of 867 and 225?

The HCF of 867 and 225 is 3.
Q2

How to find the HCF of 867 and 225 using the long division method?

To find the HCF of 867 and 225 using the long division method, 867 is divided by 225. The divisor (3) when the remainder is 0 indicates the HCF.
Q3

List the methods used to find HCF of 867 and 225.

The methods used to find the HCF of 867 and 225 are Long Division, Listing Common Factors and Prime Factorisation.
Q4

If LCM = 65025 and HCF = 3 for two numbers, determine the other number when one number is 867.

Consider y as the other number

Given LCM = 65025 and HCF = 3

HCF × LCM = 867 x y

y = (HCF × LCM)/867

y = (3 × 65025)/867

y = 225

Therefore, the other number is 225.

Q5

What is the relation between HCF and LCM of 867 and 225?

The relation between HCF and LCM of 867 and 225 is

HCF × LCM = 867 × 225

HCF × LCM = 195075

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*