HCF of 135 and 225

The HCF of 135 and 225 is 45. The greatest possible number that divides 135 and 225 perfectly without any remainder is the HCF of 135 and 225. 1, 3, 5, 9, 15, 27, 45, 135 and 1, 3, 5, 9, 15, 25, 45, 75, 225 are the factors of 135 and 225, respectively. The long division, listing common factors and prime factorisation are the three most prevalent methods for calculating the HCF of 135 and 225.

Also read: Highest common factor

What is the HCF of 135 and 225?

The answer to this question is 45. This article shows the HCF of 135 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 135 and 225?

There are three methods to find the HCF of 135 and 225:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 135 and 225 by Prime Factorisation Method

The prime factorisation of 135 and 225 is given by:

Prime factorisation of 135 = (3 × 3 × 3 × 5)

Prime factorisation of 225 = (3 × 3 × 5 × 5)

Hence the common prime factors of 135 and 225 are 3, 3 and 5, and the HCF of 135 and 225 is 3 × 3 × 5 = 45.

HCF (135, 225) = 45

HCF of 135 and 225 by Long Division Method

The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is HCF of 135 and 225.

HCF of 135 and 225

No further division can be done.

Hence, HCF (135, 225) = 45

HCF of 135 and 225 by Listing the Factors

To calculate the HCF of 135 and 225 by listing out the common factors, list the factors as shown below:

Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135

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

There are 6 common factors of 135 and 225, and they are 1, 3, 5, 9, 15, and 45. Therefore, the highest common factor of 135 and 225 is 45.

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Video Lesson on Properties of HCF and LCM

HCF of 135 and 225 Solved Example

Find the highest number that divides 135 and 225 exactly.

Solution:

The highest number that divides 135 and 225 exactly is their highest common factor, i.e. HCF of 135 and 225.

⇒ Factors of 135 and 225:

Factors of 135 = 1, 3, 5, 9, 15, 27, 45, 135

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

Therefore, the HCF of 135 and 225 is 45.

Frequently Asked Questions on HCF of 135 and 225

Q1

What is the HCF of 135 and 225?

The HCF of 135 and 225 is 45. To calculate the Highest common factor (HCF) of 135 and 225, we need to factor each number (factors of 135 = 1, 3, 5, 9, 15, 27, 45, 135; factors of 225 = 1, 3, 5, 9, 15, 25, 45, 75, 225) and choose the highest factor that exactly divides both 135 and 225, i.e. 45.
Q2

How to Find the HCF of 135 and 225 by long division method?

To find the HCF of 135, 225 using the long division method, 225 is divided by 135. The corresponding divisor (45) when remainder equals 0 is taken as HCF.
Q3

What are the methods to find HCF of 135 and 225?

There are three commonly used methods to find the HCF of 135 and 225. By Long Division By Listing Common Factors By Prime Factorisation

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