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 364, 394, 211, 192 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 394, 211, 192 is 1
GCD(364, 394, 211, 192) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 394, 211, 192 is 1
GCD(364, 394, 211, 192) = 1
Given Input numbers are 364, 394, 211, 192
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Greatest Common Divisior
We found the divisors of 364, 394, 211, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 394, 211, 192 is 1.
Therefore, GCD of numbers 364, 394, 211, 192 is 1
Given Input Data is 364, 394, 211, 192
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 394 is 2 x 197
Prime Factorization of 211 is 211
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
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(364, 394) = 71708
GCD(364, 394) = ( 364 x 394 ) / 71708
GCD(364, 394) = 143416 / 71708
GCD(364, 394) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 211
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 211) = 422
GCD(2, 211) = ( 2 x 211 ) / 422
GCD(2, 211) = 422 / 422
GCD(2, 211) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 192
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 192) = 192
GCD(1, 192) = ( 1 x 192 ) / 192
GCD(1, 192) = 192 / 192
GCD(1, 192) = 1
GCD of 364, 394, 211, 192 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 394, 211, 192?
GCD of 364, 394, 211, 192 is 1
2. Where do I get the detailed procedure to find GCD of 364, 394, 211, 192?
You can find a detailed procedure to find GCD of 364, 394, 211, 192 on our page.
3. How to find GCD of 364, 394, 211, 192 on a calculator?
You can find the GCD of 364, 394, 211, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.