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 998, 311, 198, 437 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 311, 198, 437 is 1
GCD(998, 311, 198, 437) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 311, 198, 437 is 1
GCD(998, 311, 198, 437) = 1
Given Input numbers are 998, 311, 198, 437
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
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 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Greatest Common Divisior
We found the divisors of 998, 311, 198, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 311, 198, 437 is 1.
Therefore, GCD of numbers 998, 311, 198, 437 is 1
Given Input Data is 998, 311, 198, 437
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 311 is 311
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 437 is 19 x 23
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(998, 311) = 310378
GCD(998, 311) = ( 998 x 311 ) / 310378
GCD(998, 311) = 310378 / 310378
GCD(998, 311) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
GCD(1, 198) = 198 / 198
GCD(1, 198) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 437) = 437
GCD(1, 437) = ( 1 x 437 ) / 437
GCD(1, 437) = 437 / 437
GCD(1, 437) = 1
GCD of 998, 311, 198, 437 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 311, 198, 437?
GCD of 998, 311, 198, 437 is 1
2. Where do I get the detailed procedure to find GCD of 998, 311, 198, 437?
You can find a detailed procedure to find GCD of 998, 311, 198, 437 on our page.
3. How to find GCD of 998, 311, 198, 437 on a calculator?
You can find the GCD of 998, 311, 198, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.