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 50, 367, 194, 999 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 367, 194, 999 is 1
GCD(50, 367, 194, 999) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 367, 194, 999 is 1
GCD(50, 367, 194, 999) = 1
Given Input numbers are 50, 367, 194, 999
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Greatest Common Divisior
We found the divisors of 50, 367, 194, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 367, 194, 999 is 1.
Therefore, GCD of numbers 50, 367, 194, 999 is 1
Given Input Data is 50, 367, 194, 999
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 367 is 367
Prime Factorization of 194 is 2 x 97
Prime Factorization of 999 is 3 x 3 x 3 x 37
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(50, 367) = 18350
GCD(50, 367) = ( 50 x 367 ) / 18350
GCD(50, 367) = 18350 / 18350
GCD(50, 367) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 194
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 194) = 194
GCD(1, 194) = ( 1 x 194 ) / 194
GCD(1, 194) = 194 / 194
GCD(1, 194) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
GCD(1, 999) = 999 / 999
GCD(1, 999) = 1
GCD of 50, 367, 194, 999 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 367, 194, 999?
GCD of 50, 367, 194, 999 is 1
2. Where do I get the detailed procedure to find GCD of 50, 367, 194, 999?
You can find a detailed procedure to find GCD of 50, 367, 194, 999 on our page.
3. How to find GCD of 50, 367, 194, 999 on a calculator?
You can find the GCD of 50, 367, 194, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.