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 586, 184, 231, 721 i.e. 1 largest integer that divides all the numbers equally.
GCD of 586, 184, 231, 721 is 1
GCD(586, 184, 231, 721) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 586, 184, 231, 721 is 1
GCD(586, 184, 231, 721) = 1
Given Input numbers are 586, 184, 231, 721
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
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 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Greatest Common Divisior
We found the divisors of 586, 184, 231, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 184, 231, 721 is 1.
Therefore, GCD of numbers 586, 184, 231, 721 is 1
Given Input Data is 586, 184, 231, 721
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 586 is 2 x 293
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 721 is 7 x 103
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(586, 184) = 53912
GCD(586, 184) = ( 586 x 184 ) / 53912
GCD(586, 184) = 107824 / 53912
GCD(586, 184) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 231) = 462
GCD(2, 231) = ( 2 x 231 ) / 462
GCD(2, 231) = 462 / 462
GCD(2, 231) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
GCD of 586, 184, 231, 721 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 586, 184, 231, 721?
GCD of 586, 184, 231, 721 is 1
2. Where do I get the detailed procedure to find GCD of 586, 184, 231, 721?
You can find a detailed procedure to find GCD of 586, 184, 231, 721 on our page.
3. How to find GCD of 586, 184, 231, 721 on a calculator?
You can find the GCD of 586, 184, 231, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.