The HCF of 144 and 198 is 18. The greatest possible number that divides 144 and 198 perfectly without any remainder is the HCF of 144 and 198. The factors of 144 and 198 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 and 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198 respectively. The long division, listing common factors, and prime factorisation are the three most prevalent methods for calculating the HCF of 144 and 198.
Also read: Highest common factor
What is the HCF of 144 and 198?
The answer to this question is 18. This article shows the HCF of 144 and 198 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 144 and 198?
There are three methods to find the HCF of 144 and 198:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 144 and 198 by Prime Factorisation Method
The prime factorisation of 144 and 198 is given by:
Prime factorisation of 144 = (2 × 2 × 2 × 2 × 3 × 3)
Prime factorisation of 198 = (2 × 3 × 3 × 11)
Hence, the HCF of 144 and 198 is 2 × 3 × 3 = 18.
HCF (144, 198) = 18
HCF of 144 and 198 by Long Division Method
The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is HCF of 144 and 198.
No further division can be done.
Hence, HCF (144, 198) = 18
HCF of 144 and 198 by Listing the Factors
To calculate the HCF of 144 and 198 by listing out the common factors, list the factors as shown below:
Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Therefore, the highest common factor of 144 and 198 is 18.
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Video Lesson on Properties of HCF and LCM
HCF of 144 and 198 Solved Example
Find the highest number that divides 144 and 198 exactly.
Solution:
The highest number that divides 144 and 198 exactly is their highest common factor, i.e. HCF of 144 and 198.
⇒ Factors of 144 and 198:
Factors of 144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Factors of 198 = 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Therefore, the HCF of 144 and 198 is 18.
Frequently Asked Questions on HCF of 144 and 198
What is the HCF of 144 and 198?
If the HCF of 198 and 144 is 18, find its LCM.
Since the HCF of 198 and 144 = 18
⇒ 18 × LCM(198, 144) = 28512
Therefore, LCM = 1584
What are the methods to find HCF of 144 and 198?
By Long Division
By Listing Common Factors
By Prime Factorisation
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