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 279, 369, 988, 717 i.e. 1 largest integer that divides all the numbers equally.
GCD of 279, 369, 988, 717 is 1
GCD(279, 369, 988, 717) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 279, 369, 988, 717 is 1
GCD(279, 369, 988, 717) = 1
Given Input numbers are 279, 369, 988, 717
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
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 279, 369, 988, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 369, 988, 717 is 1.
Therefore, GCD of numbers 279, 369, 988, 717 is 1
Given Input Data is 279, 369, 988, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 988 is 2 x 2 x 13 x 19
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(279, 369) = 11439
GCD(279, 369) = ( 279 x 369 ) / 11439
GCD(279, 369) = 102951 / 11439
GCD(279, 369) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 988) = 8892
GCD(9, 988) = ( 9 x 988 ) / 8892
GCD(9, 988) = 8892 / 8892
GCD(9, 988) = 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 279, 369, 988, 717 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 279, 369, 988, 717?
GCD of 279, 369, 988, 717 is 1
2. Where do I get the detailed procedure to find GCD of 279, 369, 988, 717?
You can find a detailed procedure to find GCD of 279, 369, 988, 717 on our page.
3. How to find GCD of 279, 369, 988, 717 on a calculator?
You can find the GCD of 279, 369, 988, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.