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, 271, 178, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 339, 271, 178, 396 is 1
GCD(339, 271, 178, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 339, 271, 178, 396 is 1
GCD(339, 271, 178, 396) = 1
Given Input numbers are 339, 271, 178, 396
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 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 339, 271, 178, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 271, 178, 396 is 1.
Therefore, GCD of numbers 339, 271, 178, 396 is 1
Given Input Data is 339, 271, 178, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 339 is 3 x 113
Prime Factorization of 271 is 271
Prime Factorization of 178 is 2 x 89
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
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, 271) = 91869
GCD(339, 271) = ( 339 x 271 ) / 91869
GCD(339, 271) = 91869 / 91869
GCD(339, 271) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 339, 271, 178, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 339, 271, 178, 396?
GCD of 339, 271, 178, 396 is 1
2. Where do I get the detailed procedure to find GCD of 339, 271, 178, 396?
You can find a detailed procedure to find GCD of 339, 271, 178, 396 on our page.
3. How to find GCD of 339, 271, 178, 396 on a calculator?
You can find the GCD of 339, 271, 178, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.