GCD of 83, 656, 381, 396 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 83, 656, 381, 396 i.e. 1 largest integer that divides all the numbers equally.

GCD of 83, 656, 381, 396 is 1

GCD(83, 656, 381, 396) = 1

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

GCD of

GCD of numbers 83, 656, 381, 396 is 1

GCD(83, 656, 381, 396) = 1

GCD of 83,656,381,396 Calculator

GCDof 83,656,381,396 is 1

Given Input numbers are 83, 656, 381, 396

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

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 83, 656, 381, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 656, 381, 396 is 1.

Therefore, GCD of numbers 83, 656, 381, 396 is 1

Finding GCD of 83, 656, 381, 396 using Prime Factorization

Given Input Data is 83, 656, 381, 396

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

Prime Factorization of 83 is 83

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 381 is 3 x 127

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

Finding GCD of 83, 656, 381, 396 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(83, 656) = 54448

GCD(83, 656) = ( 83 x 656 ) / 54448

GCD(83, 656) = 54448 / 54448

GCD(83, 656) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 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 83, 656, 381, 396 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 83, 656, 381, 396

1. What is the GCD of 83, 656, 381, 396?

GCD of 83, 656, 381, 396 is 1


2. Where do I get the detailed procedure to find GCD of 83, 656, 381, 396?

You can find a detailed procedure to find GCD of 83, 656, 381, 396 on our page.


3. How to find GCD of 83, 656, 381, 396 on a calculator?

You can find the GCD of 83, 656, 381, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.