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 397, 717, 968, 565 i.e. 1 largest integer that divides all the numbers equally.
GCD of 397, 717, 968, 565 is 1
GCD(397, 717, 968, 565) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 397, 717, 968, 565 is 1
GCD(397, 717, 968, 565) = 1
Given Input numbers are 397, 717, 968, 565
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Greatest Common Divisior
We found the divisors of 397, 717, 968, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 717, 968, 565 is 1.
Therefore, GCD of numbers 397, 717, 968, 565 is 1
Given Input Data is 397, 717, 968, 565
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 397 is 397
Prime Factorization of 717 is 3 x 239
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 565 is 5 x 113
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(397, 717) = 284649
GCD(397, 717) = ( 397 x 717 ) / 284649
GCD(397, 717) = 284649 / 284649
GCD(397, 717) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
GCD of 397, 717, 968, 565 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 397, 717, 968, 565?
GCD of 397, 717, 968, 565 is 1
2. Where do I get the detailed procedure to find GCD of 397, 717, 968, 565?
You can find a detailed procedure to find GCD of 397, 717, 968, 565 on our page.
3. How to find GCD of 397, 717, 968, 565 on a calculator?
You can find the GCD of 397, 717, 968, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.