HCF of 144 and 198

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.

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

Q1

What is the HCF of 144 and 198?

The HCF of 144 and 198 is 18. To calculate the highest common factor of 144 and 198, we need to factor each number (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) and choose the highest factor that exactly divides both 144 and 198, i.e. 18.
Q2

If the HCF of 198 and 144 is 18, find its LCM.

HCF(198, 144) × LCM(198, 144) = 198 × 144
Since the HCF of 198 and 144 = 18
⇒ 18 × LCM(198, 144) = 28512
Therefore, LCM = 1584
Q3

What are the methods to find HCF of 144 and 198?

There are three commonly used methods to find the HCF of 144 and 198.
By Long Division
By Listing Common Factors
By Prime Factorisation

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