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.
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
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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
What is the HCF of 272 and 425?
How to find the HCF of 272 and 425 by prime factorisation?
⇒ 17 is the only common prime factor of 272 and 425. Hence, HCF (272, 425) = 17.
What are the methods to find HCF of 272 and 425?
Long Division
Listing Common Factors
Prime Factorisation
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