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 715, 927, 317, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 927, 317, 360 is 1
GCD(715, 927, 317, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 927, 317, 360 is 1
GCD(715, 927, 317, 360) = 1
Given Input numbers are 715, 927, 317, 360
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Greatest Common Divisior
We found the divisors of 715, 927, 317, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 927, 317, 360 is 1.
Therefore, GCD of numbers 715, 927, 317, 360 is 1
Given Input Data is 715, 927, 317, 360
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 927 is 3 x 3 x 103
Prime Factorization of 317 is 317
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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(715, 927) = 662805
GCD(715, 927) = ( 715 x 927 ) / 662805
GCD(715, 927) = 662805 / 662805
GCD(715, 927) = 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 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
GCD of 715, 927, 317, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 927, 317, 360?
GCD of 715, 927, 317, 360 is 1
2. Where do I get the detailed procedure to find GCD of 715, 927, 317, 360?
You can find a detailed procedure to find GCD of 715, 927, 317, 360 on our page.
3. How to find GCD of 715, 927, 317, 360 on a calculator?
You can find the GCD of 715, 927, 317, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.