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 979, 522, 351, 717 i.e. 1 largest integer that divides all the numbers equally.
GCD of 979, 522, 351, 717 is 1
GCD(979, 522, 351, 717) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 979, 522, 351, 717 is 1
GCD(979, 522, 351, 717) = 1
Given Input numbers are 979, 522, 351, 717
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Greatest Common Divisior
We found the divisors of 979, 522, 351, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 522, 351, 717 is 1.
Therefore, GCD of numbers 979, 522, 351, 717 is 1
Given Input Data is 979, 522, 351, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 979 is 11 x 89
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 717 is 3 x 239
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(979, 522) = 511038
GCD(979, 522) = ( 979 x 522 ) / 511038
GCD(979, 522) = 511038 / 511038
GCD(979, 522) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
GCD(1, 351) = 351 / 351
GCD(1, 351) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 717) = 717
GCD(1, 717) = ( 1 x 717 ) / 717
GCD(1, 717) = 717 / 717
GCD(1, 717) = 1
GCD of 979, 522, 351, 717 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 979, 522, 351, 717?
GCD of 979, 522, 351, 717 is 1
2. Where do I get the detailed procedure to find GCD of 979, 522, 351, 717?
You can find a detailed procedure to find GCD of 979, 522, 351, 717 on our page.
3. How to find GCD of 979, 522, 351, 717 on a calculator?
You can find the GCD of 979, 522, 351, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.