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, 250, 583, 249 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 250, 583, 249 is 1
GCD(231, 250, 583, 249) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 250, 583, 249 is 1
GCD(231, 250, 583, 249) = 1
Given Input numbers are 231, 250, 583, 249
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 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Greatest Common Divisior
We found the divisors of 231, 250, 583, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 250, 583, 249 is 1.
Therefore, GCD of numbers 231, 250, 583, 249 is 1
Given Input Data is 231, 250, 583, 249
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 250 is 2 x 5 x 5 x 5
Prime Factorization of 583 is 11 x 53
Prime Factorization of 249 is 3 x 83
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, 250) = 57750
GCD(231, 250) = ( 231 x 250 ) / 57750
GCD(231, 250) = 57750 / 57750
GCD(231, 250) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 583
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 583) = 583
GCD(1, 583) = ( 1 x 583 ) / 583
GCD(1, 583) = 583 / 583
GCD(1, 583) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
GCD(1, 249) = 249 / 249
GCD(1, 249) = 1
GCD of 231, 250, 583, 249 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 250, 583, 249?
GCD of 231, 250, 583, 249 is 1
2. Where do I get the detailed procedure to find GCD of 231, 250, 583, 249?
You can find a detailed procedure to find GCD of 231, 250, 583, 249 on our page.
3. How to find GCD of 231, 250, 583, 249 on a calculator?
You can find the GCD of 231, 250, 583, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.