GCD of 736, 359, 38, 808 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 736, 359, 38, 808 i.e. 1 largest integer that divides all the numbers equally.

GCD of 736, 359, 38, 808 is 1

GCD(736, 359, 38, 808) = 1

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

GCD of

GCD of numbers 736, 359, 38, 808 is 1

GCD(736, 359, 38, 808) = 1

GCD of 736,359,38,808 Calculator

GCDof 736,359,38,808 is 1

Given Input numbers are 736, 359, 38, 808

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 736, 359, 38, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 359, 38, 808 is 1.

Therefore, GCD of numbers 736, 359, 38, 808 is 1

Finding GCD of 736, 359, 38, 808 using Prime Factorization

Given Input Data is 736, 359, 38, 808

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 359 is 359

Prime Factorization of 38 is 2 x 19

Prime Factorization of 808 is 2 x 2 x 2 x 101

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

Finding GCD of 736, 359, 38, 808 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(736, 359) = 264224

GCD(736, 359) = ( 736 x 359 ) / 264224

GCD(736, 359) = 264224 / 264224

GCD(736, 359) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 736, 359, 38, 808 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 736, 359, 38, 808

1. What is the GCD of 736, 359, 38, 808?

GCD of 736, 359, 38, 808 is 1


2. Where do I get the detailed procedure to find GCD of 736, 359, 38, 808?

You can find a detailed procedure to find GCD of 736, 359, 38, 808 on our page.


3. How to find GCD of 736, 359, 38, 808 on a calculator?

You can find the GCD of 736, 359, 38, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.