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, 591, 179, 621 i.e. 1 largest integer that divides all the numbers equally.
GCD of 338, 591, 179, 621 is 1
GCD(338, 591, 179, 621) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 338, 591, 179, 621 is 1
GCD(338, 591, 179, 621) = 1
Given Input numbers are 338, 591, 179, 621
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 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Greatest Common Divisior
We found the divisors of 338, 591, 179, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 591, 179, 621 is 1.
Therefore, GCD of numbers 338, 591, 179, 621 is 1
Given Input Data is 338, 591, 179, 621
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 591 is 3 x 197
Prime Factorization of 179 is 179
Prime Factorization of 621 is 3 x 3 x 3 x 23
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, 591) = 199758
GCD(338, 591) = ( 338 x 591 ) / 199758
GCD(338, 591) = 199758 / 199758
GCD(338, 591) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 179) = 179
GCD(1, 179) = ( 1 x 179 ) / 179
GCD(1, 179) = 179 / 179
GCD(1, 179) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 621) = 621
GCD(1, 621) = ( 1 x 621 ) / 621
GCD(1, 621) = 621 / 621
GCD(1, 621) = 1
GCD of 338, 591, 179, 621 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 338, 591, 179, 621?
GCD of 338, 591, 179, 621 is 1
2. Where do I get the detailed procedure to find GCD of 338, 591, 179, 621?
You can find a detailed procedure to find GCD of 338, 591, 179, 621 on our page.
3. How to find GCD of 338, 591, 179, 621 on a calculator?
You can find the GCD of 338, 591, 179, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.