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 338, 906, 437, 199 i.e. 1 largest integer that divides all the numbers equally.
GCD of 338, 906, 437, 199 is 1
GCD(338, 906, 437, 199) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 338, 906, 437, 199 is 1
GCD(338, 906, 437, 199) = 1
Given Input numbers are 338, 906, 437, 199
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Greatest Common Divisior
We found the divisors of 338, 906, 437, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 906, 437, 199 is 1.
Therefore, GCD of numbers 338, 906, 437, 199 is 1
Given Input Data is 338, 906, 437, 199
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 906 is 2 x 3 x 151
Prime Factorization of 437 is 19 x 23
Prime Factorization of 199 is 199
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(338, 906) = 153114
GCD(338, 906) = ( 338 x 906 ) / 153114
GCD(338, 906) = 306228 / 153114
GCD(338, 906) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 437) = 874
GCD(2, 437) = ( 2 x 437 ) / 874
GCD(2, 437) = 874 / 874
GCD(2, 437) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
GCD(1, 199) = 199 / 199
GCD(1, 199) = 1
GCD of 338, 906, 437, 199 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 338, 906, 437, 199?
GCD of 338, 906, 437, 199 is 1
2. Where do I get the detailed procedure to find GCD of 338, 906, 437, 199?
You can find a detailed procedure to find GCD of 338, 906, 437, 199 on our page.
3. How to find GCD of 338, 906, 437, 199 on a calculator?
You can find the GCD of 338, 906, 437, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.