GCD of 716, 803, 13, 382 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 716, 803, 13, 382 i.e. 1 largest integer that divides all the numbers equally.

GCD of 716, 803, 13, 382 is 1

GCD(716, 803, 13, 382) = 1

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

GCD of

GCD of numbers 716, 803, 13, 382 is 1

GCD(716, 803, 13, 382) = 1

GCD of 716,803,13,382 Calculator

GCDof 716,803,13,382 is 1

Given Input numbers are 716, 803, 13, 382

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 716, 803, 13, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 803, 13, 382 is 1.

Therefore, GCD of numbers 716, 803, 13, 382 is 1

Finding GCD of 716, 803, 13, 382 using Prime Factorization

Given Input Data is 716, 803, 13, 382

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 803 is 11 x 73

Prime Factorization of 13 is 13

Prime Factorization of 382 is 2 x 191

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

Finding GCD of 716, 803, 13, 382 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(716, 803) = 574948

GCD(716, 803) = ( 716 x 803 ) / 574948

GCD(716, 803) = 574948 / 574948

GCD(716, 803) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 716, 803, 13, 382 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 716, 803, 13, 382

1. What is the GCD of 716, 803, 13, 382?

GCD of 716, 803, 13, 382 is 1


2. Where do I get the detailed procedure to find GCD of 716, 803, 13, 382?

You can find a detailed procedure to find GCD of 716, 803, 13, 382 on our page.


3. How to find GCD of 716, 803, 13, 382 on a calculator?

You can find the GCD of 716, 803, 13, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.