The HCF of 186 and 403 is 31. The positive integer, which divides 186 and 403 gives the HCF value. The faculty use simple and easy-to-understand steps to improve the conceptual knowledge of students. The factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186, and the factors of 403 are 1, 13, 31, 403. Learn to determine the HCF value of the given numbers using prime factorisation, long division and listing common factors by referring to this article.
Also read: Highest common factor
What is the HCF of 186 and 403?
The answer to this question is 31. The steps used to get the HCF of 186 and 403 are available in this article for the students’ reference. 31 is the HCF of 186 and 403, which divides the numbers equally.
How to Find HCF of 186 and 403?
The methods to determine the HCF of 186 and 403 are as follows:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 186 and 403 by Prime Factorisation Method
The prime factorisation of 186 and 403 is given by:
186 = 2 × 3 × 31
403 = 13 × 31
Common prime factors of 186 and 403 = 31
Therefore, HCF (186, 403) = 31
HCF of 186 and 403 by Long Division Method
The HCF of 186 and 403 can be determined by dividing the given numbers using their prime factors. The divisor 31 with zero as the remainder is the HCF.
No further division can be done.
Hence, HCF (186, 403) = 31
HCF of 186 and 403 by Listing Common Factors
Calculating the HCF of 186 and 403 by listing common factors is provided here:
Factors of 186: 1, 2, 3, 6, 31, 62, 93, 186
Factors of 403: 1, 13, 31, 403
There are 2 common factors of 186 and 403, and they are 1 and 31.
Therefore, the highest common factor of 186 and 403 is 31.
Related Articles
- Prime Factorisation Calculator
- Properties of HCF and LCM
- Prime Factorisation and Division Method for HCF and LCM
- Prime Factorisation
- GCD Calculator
Video Lesson on Properties of HCF and LCM
HCF of 186 and 403 Solved Example
Question: If HCF = 31 and product of two numbers = 74958, find the LCM.
Solution:
Given
HCF = 31
Product of two numbers = 74958
We know that
HCF × LCM = Product of two numbers
LCM = Product/HCF
LCM = 74958/31
LCM = 2418
Hence, the LCM is 2418.
Frequently Asked Questions on HCF of 186 and 403
What is the HCF of 186 and 403?
What is the HCF of 186 and 403 using the long division method?
Which methods can be used to find HCF of 186 and 403?
For two numbers LCM = 2418 and HCF = 31, when one number is 186 determine the other.
Consider y as the other number
Given LCM = 2418 and HCF = 31
HCF × LCM = 186 × y
y = (HCF × LCM)/ 186
y = (31 × 2418)/ 186
y = 403
Therefore, the other number is 403.
Show the relation between HCF and LCM of 186 and 403.
The relation between HCF and LCM of 186 and 403 is
HCF × LCM = 186 × 403
HCF × LCM = 74958
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