GCD of 838, 380, 95, 328 Calculator

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 838, 380, 95, 328 i.e. 1 largest integer that divides all the numbers equally.

GCD of 838, 380, 95, 328 is 1

GCD(838, 380, 95, 328) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 838, 380, 95, 328 is 1

GCD(838, 380, 95, 328) = 1

GCD of 838,380,95,328 Calculator

GCDof 838,380,95,328 is 1

Given Input numbers are 838, 380, 95, 328

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 838, 380, 95, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 380, 95, 328 is 1.

Therefore, GCD of numbers 838, 380, 95, 328 is 1

Finding GCD of 838, 380, 95, 328 using Prime Factorization

Given Input Data is 838, 380, 95, 328

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 838 is 2 x 419

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 95 is 5 x 19

Prime Factorization of 328 is 2 x 2 x 2 x 41

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 838, 380, 95, 328 using LCM Formula

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(838, 380) = 159220

GCD(838, 380) = ( 838 x 380 ) / 159220

GCD(838, 380) = 318440 / 159220

GCD(838, 380) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 95

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

GCD(2, 95) = 190 / 190

GCD(2, 95) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

GCD of 838, 380, 95, 328 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 838, 380, 95, 328

1. What is the GCD of 838, 380, 95, 328?

GCD of 838, 380, 95, 328 is 1


2. Where do I get the detailed procedure to find GCD of 838, 380, 95, 328?

You can find a detailed procedure to find GCD of 838, 380, 95, 328 on our page.


3. How to find GCD of 838, 380, 95, 328 on a calculator?

You can find the GCD of 838, 380, 95, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.