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 199, 593, 131, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 199, 593, 131, 384 is 1
GCD(199, 593, 131, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 199, 593, 131, 384 is 1
GCD(199, 593, 131, 384) = 1
Given Input numbers are 199, 593, 131, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Divisors of 593
List of positive integer divisors of 593 that divides 593 without a remainder.
1, 593
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 199, 593, 131, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 593, 131, 384 is 1.
Therefore, GCD of numbers 199, 593, 131, 384 is 1
Given Input Data is 199, 593, 131, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 199 is 199
Prime Factorization of 593 is 593
Prime Factorization of 131 is 131
Prime Factorization of 384 is 2 x 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(199, 593) = 118007
GCD(199, 593) = ( 199 x 593 ) / 118007
GCD(199, 593) = 118007 / 118007
GCD(199, 593) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
GCD(1, 131) = 131 / 131
GCD(1, 131) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 199, 593, 131, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 199, 593, 131, 384?
GCD of 199, 593, 131, 384 is 1
2. Where do I get the detailed procedure to find GCD of 199, 593, 131, 384?
You can find a detailed procedure to find GCD of 199, 593, 131, 384 on our page.
3. How to find GCD of 199, 593, 131, 384 on a calculator?
You can find the GCD of 199, 593, 131, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.