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 200, 434, 22, 599 i.e. 1 largest integer that divides all the numbers equally.
GCD of 200, 434, 22, 599 is 1
GCD(200, 434, 22, 599) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 434, 22, 599 is 1
GCD(200, 434, 22, 599) = 1
Given Input numbers are 200, 434, 22, 599
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Greatest Common Divisior
We found the divisors of 200, 434, 22, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 434, 22, 599 is 1.
Therefore, GCD of numbers 200, 434, 22, 599 is 1
Given Input Data is 200, 434, 22, 599
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 22 is 2 x 11
Prime Factorization of 599 is 599
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(200, 434) = 43400
GCD(200, 434) = ( 200 x 434 ) / 43400
GCD(200, 434) = 86800 / 43400
GCD(200, 434) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 22) = 22
GCD(2, 22) = ( 2 x 22 ) / 22
GCD(2, 22) = 44 / 22
GCD(2, 22) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 599
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 599) = 1198
GCD(2, 599) = ( 2 x 599 ) / 1198
GCD(2, 599) = 1198 / 1198
GCD(2, 599) = 1
GCD of 200, 434, 22, 599 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 434, 22, 599?
GCD of 200, 434, 22, 599 is 1
2. Where do I get the detailed procedure to find GCD of 200, 434, 22, 599?
You can find a detailed procedure to find GCD of 200, 434, 22, 599 on our page.
3. How to find GCD of 200, 434, 22, 599 on a calculator?
You can find the GCD of 200, 434, 22, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.