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, 723, 239, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 723, 239, 283 is 1
GCD(231, 723, 239, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 723, 239, 283 is 1
GCD(231, 723, 239, 283) = 1
Given Input numbers are 231, 723, 239, 283
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 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 231, 723, 239, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 723, 239, 283 is 1.
Therefore, GCD of numbers 231, 723, 239, 283 is 1
Given Input Data is 231, 723, 239, 283
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 723 is 3 x 241
Prime Factorization of 239 is 239
Prime Factorization of 283 is 283
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, 723) = 55671
GCD(231, 723) = ( 231 x 723 ) / 55671
GCD(231, 723) = 167013 / 55671
GCD(231, 723) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 239
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 239) = 717
GCD(3, 239) = ( 3 x 239 ) / 717
GCD(3, 239) = 717 / 717
GCD(3, 239) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 283) = 283
GCD(1, 283) = ( 1 x 283 ) / 283
GCD(1, 283) = 283 / 283
GCD(1, 283) = 1
GCD of 231, 723, 239, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 723, 239, 283?
GCD of 231, 723, 239, 283 is 1
2. Where do I get the detailed procedure to find GCD of 231, 723, 239, 283?
You can find a detailed procedure to find GCD of 231, 723, 239, 283 on our page.
3. How to find GCD of 231, 723, 239, 283 on a calculator?
You can find the GCD of 231, 723, 239, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.