GCD of 816, 387, 58, 944 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 816, 387, 58, 944 i.e. 1 largest integer that divides all the numbers equally.

GCD of 816, 387, 58, 944 is 1

GCD(816, 387, 58, 944) = 1

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

GCD of

GCD of numbers 816, 387, 58, 944 is 1

GCD(816, 387, 58, 944) = 1

GCD of 816,387,58,944 Calculator

GCDof 816,387,58,944 is 1

Given Input numbers are 816, 387, 58, 944

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 816, 387, 58, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 387, 58, 944 is 1.

Therefore, GCD of numbers 816, 387, 58, 944 is 1

Finding GCD of 816, 387, 58, 944 using Prime Factorization

Given Input Data is 816, 387, 58, 944

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 58 is 2 x 29

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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

Finding GCD of 816, 387, 58, 944 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(816, 387) = 105264

GCD(816, 387) = ( 816 x 387 ) / 105264

GCD(816, 387) = 315792 / 105264

GCD(816, 387) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 58

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

LCM(3, 58) = 174

GCD(3, 58) = ( 3 x 58 ) / 174

GCD(3, 58) = 174 / 174

GCD(3, 58) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 816, 387, 58, 944 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 816, 387, 58, 944

1. What is the GCD of 816, 387, 58, 944?

GCD of 816, 387, 58, 944 is 1


2. Where do I get the detailed procedure to find GCD of 816, 387, 58, 944?

You can find a detailed procedure to find GCD of 816, 387, 58, 944 on our page.


3. How to find GCD of 816, 387, 58, 944 on a calculator?

You can find the GCD of 816, 387, 58, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.