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 380, 198, 788, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 380, 198, 788, 393 is 1
GCD(380, 198, 788, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 380, 198, 788, 393 is 1
GCD(380, 198, 788, 393) = 1
Given Input numbers are 380, 198, 788, 393
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
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 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Greatest Common Divisior
We found the divisors of 380, 198, 788, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 198, 788, 393 is 1.
Therefore, GCD of numbers 380, 198, 788, 393 is 1
Given Input Data is 380, 198, 788, 393
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 393 is 3 x 131
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(380, 198) = 37620
GCD(380, 198) = ( 380 x 198 ) / 37620
GCD(380, 198) = 75240 / 37620
GCD(380, 198) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 788) = 788
GCD(2, 788) = ( 2 x 788 ) / 788
GCD(2, 788) = 1576 / 788
GCD(2, 788) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 393) = 786
GCD(2, 393) = ( 2 x 393 ) / 786
GCD(2, 393) = 786 / 786
GCD(2, 393) = 1
GCD of 380, 198, 788, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 380, 198, 788, 393?
GCD of 380, 198, 788, 393 is 1
2. Where do I get the detailed procedure to find GCD of 380, 198, 788, 393?
You can find a detailed procedure to find GCD of 380, 198, 788, 393 on our page.
3. How to find GCD of 380, 198, 788, 393 on a calculator?
You can find the GCD of 380, 198, 788, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.