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 376, 322, 338 i.e. 2 largest integer that divides all the numbers equally.
GCD of 376, 322, 338 is 2
GCD(376, 322, 338) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 376, 322, 338 is 2
GCD(376, 322, 338) = 2
Given Input numbers are 376, 322, 338
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
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 376, 322, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 322, 338 is 2.
Therefore, GCD of numbers 376, 322, 338 is 2
Given Input Data is 376, 322, 338
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 322 is 2 x 7 x 23
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(376, 322) = 60536
GCD(376, 322) = ( 376 x 322 ) / 60536
GCD(376, 322) = 121072 / 60536
GCD(376, 322) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
GCD(2, 338) = 676 / 338
GCD(2, 338) = 2
GCD of 376, 322, 338 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 376, 322, 338?
GCD of 376, 322, 338 is 2
2. Where do I get the detailed procedure to find GCD of 376, 322, 338?
You can find a detailed procedure to find GCD of 376, 322, 338 on our page.
3. How to find GCD of 376, 322, 338 on a calculator?
You can find the GCD of 376, 322, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.