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 17, 679, 883, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 679, 883, 684 is 1
GCD(17, 679, 883, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 679, 883, 684 is 1
GCD(17, 679, 883, 684) = 1
Given Input numbers are 17, 679, 883, 684
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Greatest Common Divisior
We found the divisors of 17, 679, 883, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 679, 883, 684 is 1.
Therefore, GCD of numbers 17, 679, 883, 684 is 1
Given Input Data is 17, 679, 883, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 679 is 7 x 97
Prime Factorization of 883 is 883
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
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(17, 679) = 11543
GCD(17, 679) = ( 17 x 679 ) / 11543
GCD(17, 679) = 11543 / 11543
GCD(17, 679) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 883) = 883
GCD(1, 883) = ( 1 x 883 ) / 883
GCD(1, 883) = 883 / 883
GCD(1, 883) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
GCD of 17, 679, 883, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 679, 883, 684?
GCD of 17, 679, 883, 684 is 1
2. Where do I get the detailed procedure to find GCD of 17, 679, 883, 684?
You can find a detailed procedure to find GCD of 17, 679, 883, 684 on our page.
3. How to find GCD of 17, 679, 883, 684 on a calculator?
You can find the GCD of 17, 679, 883, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.