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 198, 571, 872, 926 i.e. 1 largest integer that divides all the numbers equally.
GCD of 198, 571, 872, 926 is 1
GCD(198, 571, 872, 926) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 198, 571, 872, 926 is 1
GCD(198, 571, 872, 926) = 1
Given Input numbers are 198, 571, 872, 926
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Greatest Common Divisior
We found the divisors of 198, 571, 872, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 571, 872, 926 is 1.
Therefore, GCD of numbers 198, 571, 872, 926 is 1
Given Input Data is 198, 571, 872, 926
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 571 is 571
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 926 is 2 x 463
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(198, 571) = 113058
GCD(198, 571) = ( 198 x 571 ) / 113058
GCD(198, 571) = 113058 / 113058
GCD(198, 571) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
GCD(1, 872) = 872 / 872
GCD(1, 872) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 1
GCD of 198, 571, 872, 926 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 198, 571, 872, 926?
GCD of 198, 571, 872, 926 is 1
2. Where do I get the detailed procedure to find GCD of 198, 571, 872, 926?
You can find a detailed procedure to find GCD of 198, 571, 872, 926 on our page.
3. How to find GCD of 198, 571, 872, 926 on a calculator?
You can find the GCD of 198, 571, 872, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.