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 328, 388, 338 i.e. 2 largest integer that divides all the numbers equally.
GCD of 328, 388, 338 is 2
GCD(328, 388, 338) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 328, 388, 338 is 2
GCD(328, 388, 338) = 2
Given Input numbers are 328, 388, 338
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Greatest Common Divisior
We found the divisors of 328, 388, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 388, 338 is 2.
Therefore, GCD of numbers 328, 388, 338 is 2
Given Input Data is 328, 388, 338
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 338 is 2 x 13 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(328, 388) = 31816
GCD(328, 388) = ( 328 x 388 ) / 31816
GCD(328, 388) = 127264 / 31816
GCD(328, 388) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 338) = 676
GCD(4, 338) = ( 4 x 338 ) / 676
GCD(4, 338) = 1352 / 676
GCD(4, 338) = 2
GCD of 328, 388, 338 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 328, 388, 338?
GCD of 328, 388, 338 is 2
2. Where do I get the detailed procedure to find GCD of 328, 388, 338?
You can find a detailed procedure to find GCD of 328, 388, 338 on our page.
3. How to find GCD of 328, 388, 338 on a calculator?
You can find the GCD of 328, 388, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.