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 791, 687, 17, 569 i.e. 1 largest integer that divides all the numbers equally.
GCD of 791, 687, 17, 569 is 1
GCD(791, 687, 17, 569) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 791, 687, 17, 569 is 1
GCD(791, 687, 17, 569) = 1
Given Input numbers are 791, 687, 17, 569
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Greatest Common Divisior
We found the divisors of 791, 687, 17, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 687, 17, 569 is 1.
Therefore, GCD of numbers 791, 687, 17, 569 is 1
Given Input Data is 791, 687, 17, 569
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 791 is 7 x 113
Prime Factorization of 687 is 3 x 229
Prime Factorization of 17 is 17
Prime Factorization of 569 is 569
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(791, 687) = 543417
GCD(791, 687) = ( 791 x 687 ) / 543417
GCD(791, 687) = 543417 / 543417
GCD(791, 687) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 569) = 569
GCD(1, 569) = ( 1 x 569 ) / 569
GCD(1, 569) = 569 / 569
GCD(1, 569) = 1
GCD of 791, 687, 17, 569 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 791, 687, 17, 569?
GCD of 791, 687, 17, 569 is 1
2. Where do I get the detailed procedure to find GCD of 791, 687, 17, 569?
You can find a detailed procedure to find GCD of 791, 687, 17, 569 on our page.
3. How to find GCD of 791, 687, 17, 569 on a calculator?
You can find the GCD of 791, 687, 17, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.