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.
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.
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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
What is the HCF of 867 and 225?
How to find the HCF of 867 and 225 using the long division method?
List the methods used to find HCF of 867 and 225.
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.
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
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