The HCF of 399 and 437 is 19. The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399, and the factors of 437 are 1, 19, 23, 437. Students can solve tricky problems of HCF by referring to the article Highest Common Factor. This article also helps students to improve their conceptual knowledge, which is essential from an exam point of view. Students can make use of this article as the best reference guide to improve their skills in HCF calculation and score optimum marks in the examinations. Learn the simple tricks of how to determine the Highest Common Factor of 399 and 437 in a precise manner in this article.
What is the HCF of 399 and 437?
The Highest Common Factor of 399 and 437 is 19. This article offers detailed information relying on the concept of HCF. By following this article on a regular basis, students will build a strong foundation for the HCF concept.
How to Find HCF of 399 and 437?
There are three methods to find the HCF of 399 and 437:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 399 and 437 by Prime Factorisation Method
In this method, we find the HCF by expressing the given numbers as the product of prime factors. Therefore, the given numbers 399 and 437 can be expressed as:
399 = 3 × 7 × 19
437 = 19 × 23
The common prime factor of 399 and 437 is 19.
Therefore,
HCF (399, 437) = 19
HCF of 399 and 437 by Long Division Method
In the long division method, we follow the steps mentioned below to find the HCF of 399 and 437
Step 1: Divide the largest number by the smallest number from the given two numbers.
Step 2: Now, check the remainder. If it is not 0, then make it a new divisor and write the previous divisor as the new dividend. Then perform the division.
Step 3: Repeat this process until we get the remainder as zero. The last divisor will be considered the HCF of the given two numbers.
The HCF of 399 and 437 by long division method is shown below:
HCF (399, 437) = 19
HCF of 399 and 437 by Listing Common Factors
In this method, we list out all the factors of 399 and 437 to determine their HCF. Let us have a look at the factors of 399 and 437 mentioned below:
Factors of 399:1, 3, 7, 19, 21, 57, 133, 399
Factors of 437: 1, 19, 23, 437
Hence, HCF (399, 437) = 19
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Video Lesson on Properties of HCF and LCM
Solved Examples
1. What is the highest number that divides both 399 and 437 exactly?
Solution: The highest number that divides 399 and 437 exactly is their Highest Common Factor (HCF). To find the HCF, let us list the factors of 399 and 437.
Factors of 399: 1, 3, 7, 19, 21, 57, 133, 399
Factors of 437: 1, 19, 23, 437
Here, the Highest Common Factor of 399 and 437 is 19. Therefore, the highest number that divides both 399 and 437 exactly is 19.
2. The product of the two numbers is 174363. What is the LCM if their HCF is 19?
Solution: Given
HCF = 19
Product of numbers = 174363
We know that,
LCM × HCF = Product of numbers
LCM × 19 = 174363
LCM = 9177
Hence, the LCM is 9177.
Frequently Asked Questions on HCF of 399 and 437
What is the HCF of 399 and 437?
How to find the HCF of 399 and 437 by prime factorisation?
In the prime factorisation method, we express the given numbers as the product of prime factors. Therefore, the numbers 399 and 437 can be denoted as:
399 = 3 × 7 × 19
437 = 19 × 23
The common prime factor of 399 and 437 is 19.
Therefore, HCF (399, 437) = 19
What are the methods used to find the HCF of 399 and 437?
The methods used to find the HCF of 399 and 437 are:
Prime Factorisation
Long Division method
Listing common factors
Calculate the LCM if the HCF of 399 and 437 is 19.
We know that,
HCF × LCM = 399 × 437
Given
HCF = 19
19 × LCM = 399 × 437
LCM = 9177
Hence, the LCM is 9177.
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