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 556, 695, 908, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 556, 695, 908, 684 is 1
GCD(556, 695, 908, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 556, 695, 908, 684 is 1
GCD(556, 695, 908, 684) = 1
Given Input numbers are 556, 695, 908, 684
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
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 556, 695, 908, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 695, 908, 684 is 1.
Therefore, GCD of numbers 556, 695, 908, 684 is 1
Given Input Data is 556, 695, 908, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 695 is 5 x 139
Prime Factorization of 908 is 2 x 2 x 227
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(556, 695) = 2780
GCD(556, 695) = ( 556 x 695 ) / 2780
GCD(556, 695) = 386420 / 2780
GCD(556, 695) = 139
Step2:
Here we consider the GCD from the above i.e. 139 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(139, 908) = 126212
GCD(139, 908) = ( 139 x 908 ) / 126212
GCD(139, 908) = 126212 / 126212
GCD(139, 908) = 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 556, 695, 908, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 556, 695, 908, 684?
GCD of 556, 695, 908, 684 is 1
2. Where do I get the detailed procedure to find GCD of 556, 695, 908, 684?
You can find a detailed procedure to find GCD of 556, 695, 908, 684 on our page.
3. How to find GCD of 556, 695, 908, 684 on a calculator?
You can find the GCD of 556, 695, 908, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.