Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 231, 311, 41, 180 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 311, 41, 180 is 1
GCD(231, 311, 41, 180) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 311, 41, 180 is 1
GCD(231, 311, 41, 180) = 1
Given Input numbers are 231, 311, 41, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 231, 311, 41, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 311, 41, 180 is 1.
Therefore, GCD of numbers 231, 311, 41, 180 is 1
Given Input Data is 231, 311, 41, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 311 is 311
Prime Factorization of 41 is 41
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(231, 311) = 71841
GCD(231, 311) = ( 231 x 311 ) / 71841
GCD(231, 311) = 71841 / 71841
GCD(231, 311) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
GCD of 231, 311, 41, 180 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 311, 41, 180?
GCD of 231, 311, 41, 180 is 1
2. Where do I get the detailed procedure to find GCD of 231, 311, 41, 180?
You can find a detailed procedure to find GCD of 231, 311, 41, 180 on our page.
3. How to find GCD of 231, 311, 41, 180 on a calculator?
You can find the GCD of 231, 311, 41, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.