HCF of 272 and 425

The HCF of 272 and 425 is 17. The three most popular approaches for determining the HCF of 272 and 425 are listing common factors, prime factorisation, and long division. The greatest number that divides 272 and 425 perfectly, leaving no remainder, is known as the HCF of the numbers. 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, and 1, 5, 17, 25, 85, 425, respectively, are the factors of the numbers.

Also read: Highest common factor

What is the HCF of 272 and 425?

The answer to this question is 17. This article shows how to find the HCF of 272 and 425 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 272 and 425?

There are three methods to find the HCF of 272 and 425:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 272 and 425 by Prime Factorisation Method

The prime factorisation of 272 and 425 is given by:

Prime factorisation of 272 = (2 × 2 × 2 × 2 × 17)

Prime factorisation of 425 = (5 × 5 × 17)

Hence, the HCF of 272 and 425 is 17.

HCF (272, 425) = 17

HCF of 272 and 425 by Long Division Method

The divisor that we receive when the remainder is 0 after doing long division repeatedly is the HCF of 272 and 425.

HCF of 272 and 425

No further division can be done. 

Hence, HCF (272, 425) = 17

HCF of 272 and 425 by Listing Common Factors

To calculate the HCF of 272 and 425 by listing common factors, list the factors as shown below:

Factors of 272 = 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Factors of 425 = 1, 5, 17, 25, 85, 425

Therefore, the HCF of 272 and 425 is 17.

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Video Lesson on Properties of HCF and LCM

HCF of 272 and 425 Solved Example

The product of two numbers is 115600. If their HCF is 17, what is their LCM?

Solution:

Given: HCF = 17 and product of numbers = 115600

We know that LCM × HCF = product of numbers

⇒ LCM = Product/HCF = 115600/17

Therefore, the LCM is 6800.

Frequently Asked Questions on HCF of 272 and 425

Q1

What is the HCF of 272 and 425?

The HCF of 272 and 425 is 17. To calculate the Highest Common Factor (HCF) of 272 and 425, we need to factor each number (factors of 272 = 1, 2, 4, 8, 16, 17, 34, 68, 136, 272; factors of 425 = 1, 5, 17, 25, 85, 425) and choose the highest factor that exactly divides both 272 and 425 .i.e. 17.
Q2

How to find the HCF of 272 and 425 by prime factorisation?

To find the HCF of 272 and 425, we need to find the prime factorisation of the given numbers .i.e. 272 = 2 × 2 × 2 × 2 × 17; 425 = 5 × 5 × 17.
⇒ 17 is the only common prime factor of 272 and 425. Hence, HCF (272, 425) = 17.
Q3

What are the methods to find HCF of 272 and 425?

There are three commonly used methods to find the HCF of 272 and 425. They are:
Long Division
Listing Common Factors
Prime Factorisation
Q4

What is the relation between LCM and HCF of 272 and 425?

The following equation can be used to express the relation between LCM and HCF of 272 and 425 .i.e HCF × LCM = 272 × 425.
Q5

How to find the HCF of 272 and 425 by long division method?

To find the HCF of 272 and 425 using the long division method, 425 is divided by 272. The corresponding divisor (17) when remainder is 0 is the HCF.

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