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 339, 409, 971, 493 i.e. 1 largest integer that divides all the numbers equally.
GCD of 339, 409, 971, 493 is 1
GCD(339, 409, 971, 493) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 339, 409, 971, 493 is 1
GCD(339, 409, 971, 493) = 1
Given Input numbers are 339, 409, 971, 493
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Greatest Common Divisior
We found the divisors of 339, 409, 971, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 409, 971, 493 is 1.
Therefore, GCD of numbers 339, 409, 971, 493 is 1
Given Input Data is 339, 409, 971, 493
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 339 is 3 x 113
Prime Factorization of 409 is 409
Prime Factorization of 971 is 971
Prime Factorization of 493 is 17 x 29
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(339, 409) = 138651
GCD(339, 409) = ( 339 x 409 ) / 138651
GCD(339, 409) = 138651 / 138651
GCD(339, 409) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
GCD(1, 493) = 493 / 493
GCD(1, 493) = 1
GCD of 339, 409, 971, 493 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 339, 409, 971, 493?
GCD of 339, 409, 971, 493 is 1
2. Where do I get the detailed procedure to find GCD of 339, 409, 971, 493?
You can find a detailed procedure to find GCD of 339, 409, 971, 493 on our page.
3. How to find GCD of 339, 409, 971, 493 on a calculator?
You can find the GCD of 339, 409, 971, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.