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 57, 476, 231, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 476, 231, 393 is 1
GCD(57, 476, 231, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 476, 231, 393 is 1
GCD(57, 476, 231, 393) = 1
Given Input numbers are 57, 476, 231, 393
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
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 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Greatest Common Divisior
We found the divisors of 57, 476, 231, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 476, 231, 393 is 1.
Therefore, GCD of numbers 57, 476, 231, 393 is 1
Given Input Data is 57, 476, 231, 393
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 393 is 3 x 131
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(57, 476) = 27132
GCD(57, 476) = ( 57 x 476 ) / 27132
GCD(57, 476) = 27132 / 27132
GCD(57, 476) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
GCD(1, 393) = 393 / 393
GCD(1, 393) = 1
GCD of 57, 476, 231, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 476, 231, 393?
GCD of 57, 476, 231, 393 is 1
2. Where do I get the detailed procedure to find GCD of 57, 476, 231, 393?
You can find a detailed procedure to find GCD of 57, 476, 231, 393 on our page.
3. How to find GCD of 57, 476, 231, 393 on a calculator?
You can find the GCD of 57, 476, 231, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.