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 22, 341, 198, 387 i.e. 1 largest integer that divides all the numbers equally.
GCD of 22, 341, 198, 387 is 1
GCD(22, 341, 198, 387) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 341, 198, 387 is 1
GCD(22, 341, 198, 387) = 1
Given Input numbers are 22, 341, 198, 387
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
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 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Greatest Common Divisior
We found the divisors of 22, 341, 198, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 341, 198, 387 is 1.
Therefore, GCD of numbers 22, 341, 198, 387 is 1
Given Input Data is 22, 341, 198, 387
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 341 is 11 x 31
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 387 is 3 x 3 x 43
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(22, 341) = 682
GCD(22, 341) = ( 22 x 341 ) / 682
GCD(22, 341) = 7502 / 682
GCD(22, 341) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 198) = 198
GCD(11, 198) = ( 11 x 198 ) / 198
GCD(11, 198) = 2178 / 198
GCD(11, 198) = 11
Step3:
Here we consider the GCD from the above i.e. 11 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 387) = 4257
GCD(11, 387) = ( 11 x 387 ) / 4257
GCD(11, 387) = 4257 / 4257
GCD(11, 387) = 1
GCD of 22, 341, 198, 387 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 341, 198, 387?
GCD of 22, 341, 198, 387 is 1
2. Where do I get the detailed procedure to find GCD of 22, 341, 198, 387?
You can find a detailed procedure to find GCD of 22, 341, 198, 387 on our page.
3. How to find GCD of 22, 341, 198, 387 on a calculator?
You can find the GCD of 22, 341, 198, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.