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 319, 355, 23, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 319, 355, 23, 393 is 1
GCD(319, 355, 23, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 319, 355, 23, 393 is 1
GCD(319, 355, 23, 393) = 1
Given Input numbers are 319, 355, 23, 393
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
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 319, 355, 23, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 355, 23, 393 is 1.
Therefore, GCD of numbers 319, 355, 23, 393 is 1
Given Input Data is 319, 355, 23, 393
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 319 is 11 x 29
Prime Factorization of 355 is 5 x 71
Prime Factorization of 23 is 23
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(319, 355) = 113245
GCD(319, 355) = ( 319 x 355 ) / 113245
GCD(319, 355) = 113245 / 113245
GCD(319, 355) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 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 319, 355, 23, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 319, 355, 23, 393?
GCD of 319, 355, 23, 393 is 1
2. Where do I get the detailed procedure to find GCD of 319, 355, 23, 393?
You can find a detailed procedure to find GCD of 319, 355, 23, 393 on our page.
3. How to find GCD of 319, 355, 23, 393 on a calculator?
You can find the GCD of 319, 355, 23, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.