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 688, 285, 317, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 688, 285, 317, 291 is 1
GCD(688, 285, 317, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 688, 285, 317, 291 is 1
GCD(688, 285, 317, 291) = 1
Given Input numbers are 688, 285, 317, 291
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 688, 285, 317, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 285, 317, 291 is 1.
Therefore, GCD of numbers 688, 285, 317, 291 is 1
Given Input Data is 688, 285, 317, 291
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 317 is 317
Prime Factorization of 291 is 3 x 97
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(688, 285) = 196080
GCD(688, 285) = ( 688 x 285 ) / 196080
GCD(688, 285) = 196080 / 196080
GCD(688, 285) = 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 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
GCD(1, 291) = 291 / 291
GCD(1, 291) = 1
GCD of 688, 285, 317, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 688, 285, 317, 291?
GCD of 688, 285, 317, 291 is 1
2. Where do I get the detailed procedure to find GCD of 688, 285, 317, 291?
You can find a detailed procedure to find GCD of 688, 285, 317, 291 on our page.
3. How to find GCD of 688, 285, 317, 291 on a calculator?
You can find the GCD of 688, 285, 317, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.