GCD of 813, 838, 185, 497 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 813, 838, 185, 497 i.e. 1 largest integer that divides all the numbers equally.

GCD of 813, 838, 185, 497 is 1

GCD(813, 838, 185, 497) = 1

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

GCD of

GCD of numbers 813, 838, 185, 497 is 1

GCD(813, 838, 185, 497) = 1

GCD of 813,838,185,497 Calculator

GCDof 813,838,185,497 is 1

Given Input numbers are 813, 838, 185, 497

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

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 838

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

1, 2, 419, 838

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 813, 838, 185, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 838, 185, 497 is 1.

Therefore, GCD of numbers 813, 838, 185, 497 is 1

Finding GCD of 813, 838, 185, 497 using Prime Factorization

Given Input Data is 813, 838, 185, 497

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

Prime Factorization of 813 is 3 x 271

Prime Factorization of 838 is 2 x 419

Prime Factorization of 185 is 5 x 37

Prime Factorization of 497 is 7 x 71

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

Finding GCD of 813, 838, 185, 497 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(813, 838) = 681294

GCD(813, 838) = ( 813 x 838 ) / 681294

GCD(813, 838) = 681294 / 681294

GCD(813, 838) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 813, 838, 185, 497 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 813, 838, 185, 497

1. What is the GCD of 813, 838, 185, 497?

GCD of 813, 838, 185, 497 is 1


2. Where do I get the detailed procedure to find GCD of 813, 838, 185, 497?

You can find a detailed procedure to find GCD of 813, 838, 185, 497 on our page.


3. How to find GCD of 813, 838, 185, 497 on a calculator?

You can find the GCD of 813, 838, 185, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.