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, 573, 19, 711 i.e. 1 largest integer that divides all the numbers equally.
GCD of 338, 573, 19, 711 is 1
GCD(338, 573, 19, 711) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 338, 573, 19, 711 is 1
GCD(338, 573, 19, 711) = 1
Given Input numbers are 338, 573, 19, 711
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 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Greatest Common Divisior
We found the divisors of 338, 573, 19, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 573, 19, 711 is 1.
Therefore, GCD of numbers 338, 573, 19, 711 is 1
Given Input Data is 338, 573, 19, 711
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 573 is 3 x 191
Prime Factorization of 19 is 19
Prime Factorization of 711 is 3 x 3 x 79
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, 573) = 193674
GCD(338, 573) = ( 338 x 573 ) / 193674
GCD(338, 573) = 193674 / 193674
GCD(338, 573) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 711) = 711
GCD(1, 711) = ( 1 x 711 ) / 711
GCD(1, 711) = 711 / 711
GCD(1, 711) = 1
GCD of 338, 573, 19, 711 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 338, 573, 19, 711?
GCD of 338, 573, 19, 711 is 1
2. Where do I get the detailed procedure to find GCD of 338, 573, 19, 711?
You can find a detailed procedure to find GCD of 338, 573, 19, 711 on our page.
3. How to find GCD of 338, 573, 19, 711 on a calculator?
You can find the GCD of 338, 573, 19, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.