The HCF of 398, 436 and 542 is 2. The listing common factors, prime factorisation, and long division are the three most frequent methods for calculating the HCF of 398, 436 and 542. HCF of 398, 436, and 542 is the greatest number that can divide the numbers perfectly, leaving no remainder. Factors of 398, 436, and 542 are (1, 2, 199, 398), (1, 2, 4, 109, 218, 436), and (1, 2, 271, 542), respectively.
Also read: Highest common factor
What is the HCF of 398, 436 and 542?
The answer to this question is 2. This article shows how to find the HCF of 398, 436 and 542 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 398, 436 and 542?
There are three methods to find the HCF of 398, 436 and 542:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 398, 436 and 542 by Prime Factorisation Method
The prime factorisation of 398, 436 and 542 is given by:
Prime factorisation of 398 = (2 × 199)
Prime factorisation of 436 = (2 × 2 × 109)
Prime factorisation of 542 = (2 × 271)
Hence, the HCF of 398, 436 and 542 is 2.
HCF (398, 436, 542) = 2
HCF of 398, 436 and 542 by Long Division Method
The divisor that we get when the remainder is 0 after doing long division repeatedly is the HCF of 398, 436 and 542.
No further division can be done.
Hence, HCF (398, 436, 542) = 2
HCF of 398, 436 and 542 by Listing Common Factors
To calculate the HCF of 398, 436 and 542 by listing common factors, list the factors as shown below:
Factors of 398: 1, 2, 199, 398
Factors of 436: 1, 2, 4, 109, 218, 436
Factors of 542: 1, 2, 271, 542
There are 2 common factors of 398, 436 and 542, and they are 1 and 2. Therefore, the Highest Common Factor of 398, 436 and 542 is 2.
Related Articles
Video Lesson on Properties of HCF and LCM
HCF of 398, 436 and 542 Solved Example
Find the highest number that divides 398, 436, and 542 completely.
Solution:
The highest number that divides 398, 436, and 542 is their Highest Common Factor.
Factors of 398 = 1, 2, 199, 398
Factors of 436 = 1, 2, 4, 109, 218, 436
Factors of 542 = 1, 2, 271, 542
The HCF of 398, 436, and 542 is 2.
Therefore, the highest number that divides 398, 436, and 542 is 2.
Frequently Asked Questions on HCF of 398, 436 and 542
What is the HCF of 398, 436 and 542?
Which of the following is the HCF of 398, 436 and 542? 2, 549, 575, 563, 582.
What are the methods to find HCF of 398, 436 and 542?
Long Division
Listing Common Factors
Prime Factorisation
How to find the HCF of 398, 436 and 542 by prime factorisation?
⇒ 2 is the only common prime factor of 398, 436 and 542. Hence, HCF (398, 436, 542) = 2.
Comments