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 195, 392, 713, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 392, 713, 319 is 1
GCD(195, 392, 713, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 392, 713, 319 is 1
GCD(195, 392, 713, 319) = 1
Given Input numbers are 195, 392, 713, 319
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 195, 392, 713, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 392, 713, 319 is 1.
Therefore, GCD of numbers 195, 392, 713, 319 is 1
Given Input Data is 195, 392, 713, 319
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 713 is 23 x 31
Prime Factorization of 319 is 11 x 29
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(195, 392) = 76440
GCD(195, 392) = ( 195 x 392 ) / 76440
GCD(195, 392) = 76440 / 76440
GCD(195, 392) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 713) = 713
GCD(1, 713) = ( 1 x 713 ) / 713
GCD(1, 713) = 713 / 713
GCD(1, 713) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 319) = 319
GCD(1, 319) = ( 1 x 319 ) / 319
GCD(1, 319) = 319 / 319
GCD(1, 319) = 1
GCD of 195, 392, 713, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 392, 713, 319?
GCD of 195, 392, 713, 319 is 1
2. Where do I get the detailed procedure to find GCD of 195, 392, 713, 319?
You can find a detailed procedure to find GCD of 195, 392, 713, 319 on our page.
3. How to find GCD of 195, 392, 713, 319 on a calculator?
You can find the GCD of 195, 392, 713, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.