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, 255, 410, 590 i.e. 1 largest integer that divides all the numbers equally.
GCD of 338, 255, 410, 590 is 1
GCD(338, 255, 410, 590) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 338, 255, 410, 590 is 1
GCD(338, 255, 410, 590) = 1
Given Input numbers are 338, 255, 410, 590
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 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Greatest Common Divisior
We found the divisors of 338, 255, 410, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 255, 410, 590 is 1.
Therefore, GCD of numbers 338, 255, 410, 590 is 1
Given Input Data is 338, 255, 410, 590
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 255 is 3 x 5 x 17
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 590 is 2 x 5 x 59
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, 255) = 86190
GCD(338, 255) = ( 338 x 255 ) / 86190
GCD(338, 255) = 86190 / 86190
GCD(338, 255) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 410
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 410) = 410
GCD(1, 410) = ( 1 x 410 ) / 410
GCD(1, 410) = 410 / 410
GCD(1, 410) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 590) = 590
GCD(1, 590) = ( 1 x 590 ) / 590
GCD(1, 590) = 590 / 590
GCD(1, 590) = 1
GCD of 338, 255, 410, 590 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 338, 255, 410, 590?
GCD of 338, 255, 410, 590 is 1
2. Where do I get the detailed procedure to find GCD of 338, 255, 410, 590?
You can find a detailed procedure to find GCD of 338, 255, 410, 590 on our page.
3. How to find GCD of 338, 255, 410, 590 on a calculator?
You can find the GCD of 338, 255, 410, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.