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 928, 688, 321, 556 i.e. 1 largest integer that divides all the numbers equally.
GCD of 928, 688, 321, 556 is 1
GCD(928, 688, 321, 556) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 928, 688, 321, 556 is 1
GCD(928, 688, 321, 556) = 1
Given Input numbers are 928, 688, 321, 556
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Greatest Common Divisior
We found the divisors of 928, 688, 321, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 688, 321, 556 is 1.
Therefore, GCD of numbers 928, 688, 321, 556 is 1
Given Input Data is 928, 688, 321, 556
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 321 is 3 x 107
Prime Factorization of 556 is 2 x 2 x 139
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(928, 688) = 39904
GCD(928, 688) = ( 928 x 688 ) / 39904
GCD(928, 688) = 638464 / 39904
GCD(928, 688) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 321) = 5136
GCD(16, 321) = ( 16 x 321 ) / 5136
GCD(16, 321) = 5136 / 5136
GCD(16, 321) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 556
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 556) = 556
GCD(1, 556) = ( 1 x 556 ) / 556
GCD(1, 556) = 556 / 556
GCD(1, 556) = 1
GCD of 928, 688, 321, 556 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 928, 688, 321, 556?
GCD of 928, 688, 321, 556 is 1
2. Where do I get the detailed procedure to find GCD of 928, 688, 321, 556?
You can find a detailed procedure to find GCD of 928, 688, 321, 556 on our page.
3. How to find GCD of 928, 688, 321, 556 on a calculator?
You can find the GCD of 928, 688, 321, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.