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 359, 316, 317, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 316, 317, 764 is 1
GCD(359, 316, 317, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 316, 317, 764 is 1
GCD(359, 316, 317, 764) = 1
Given Input numbers are 359, 316, 317, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 359, 316, 317, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 316, 317, 764 is 1.
Therefore, GCD of numbers 359, 316, 317, 764 is 1
Given Input Data is 359, 316, 317, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 317 is 317
Prime Factorization of 764 is 2 x 2 x 191
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(359, 316) = 113444
GCD(359, 316) = ( 359 x 316 ) / 113444
GCD(359, 316) = 113444 / 113444
GCD(359, 316) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 317) = 317
GCD(1, 317) = ( 1 x 317 ) / 317
GCD(1, 317) = 317 / 317
GCD(1, 317) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 359, 316, 317, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 316, 317, 764?
GCD of 359, 316, 317, 764 is 1
2. Where do I get the detailed procedure to find GCD of 359, 316, 317, 764?
You can find a detailed procedure to find GCD of 359, 316, 317, 764 on our page.
3. How to find GCD of 359, 316, 317, 764 on a calculator?
You can find the GCD of 359, 316, 317, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.