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 393, 994, 243, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 393, 994, 243, 378 is 1
GCD(393, 994, 243, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 393, 994, 243, 378 is 1
GCD(393, 994, 243, 378) = 1
Given Input numbers are 393, 994, 243, 378
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 393, 994, 243, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 994, 243, 378 is 1.
Therefore, GCD of numbers 393, 994, 243, 378 is 1
Given Input Data is 393, 994, 243, 378
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 393 is 3 x 131
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
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(393, 994) = 390642
GCD(393, 994) = ( 393 x 994 ) / 390642
GCD(393, 994) = 390642 / 390642
GCD(393, 994) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
GCD of 393, 994, 243, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 393, 994, 243, 378?
GCD of 393, 994, 243, 378 is 1
2. Where do I get the detailed procedure to find GCD of 393, 994, 243, 378?
You can find a detailed procedure to find GCD of 393, 994, 243, 378 on our page.
3. How to find GCD of 393, 994, 243, 378 on a calculator?
You can find the GCD of 393, 994, 243, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.