The HCF of 150 and 225 is 75. Listing common factors, prime factorisation and long division are the three most frequent methods for calculating the HCF of 150 and 225. The highest number that can divide two numbers exactly and without leaving any remainder is the HCF of 150 and 225. Factors of 150 and 225 are, 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150 and 1, 3, 5, 9, 15, 25, 45, 75, 225, respectively.
Also read: Highest common factor
What is the HCF of 150 and 225?
The answer to this question is 75. This article shows how to find the HCF of 150 and 225 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 150 and 225?
There are three methods to find the HCF of 150 and 225:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 150 and 225 by Prime Factorisation Method
The prime factorisation of 150 and 225 is given by:
Prime factorisation of 150 = (2 × 3 × 5 × 5)
Prime factorisation of 225 = (3 × 3 × 5 × 5)
Hence, the HCF of 150 and 225 is 3 × 5 × 5 = 75.
HCF (150, 225) = 75
HCF of 150 and 225 by Long Division Method
The divisor that we get when the remainder is 0 after doing the long division repeatedly is the HCF of 150 and 225.
No further division can be done.
Hence, HCF (150, 225) = 75
HCF of 150 and 225 by Listing Common Factors
To calculate the HCF of 150 and 225 by listing common factors, list the factors as shown below:
Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, 225
There are 6 common factors of 150 and 225, and they are 1, 3, 5, 15, 25, and 75. Therefore, the Highest Common Factor of 150 and 225 is 75.
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Video Lesson on Properties of HCF and LCM
HCF of 150 and 225 Solved Example
Find the highest number that divides 150 and 225 exactly.
Solution:
The highest number that divides 150 and 225 exactly is their Highest Common Factor .i.e HCF of 150 and 225.
⇒ Factors of 150 and 225:
Factors of 150 = 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Factors of 225 = 1, 3, 5, 9, 15, 25, 45, 75, 225
Therefore, the HCF of 150 and 225 is 75.
Frequently Asked Questions on HCF of 150 and 225
What is the HCF of 150 and 225?
What is the relation between LCM and HCF of 150 and 225?
What are the methods to find HCF of 150 and 225?
Long Division
Listing Common Factors
Prime Factorisation
If the HCF of 225 and 150 is 75, find its LCM.
The HCF of 225 and 150 = 75
⇒ 75 × LCM(225, 150) = 33750
Therefore, LCM = 450
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