GCD of 813, 517, 149, 732 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, 517, 149, 732 i.e. 1 largest integer that divides all the numbers equally.

GCD of 813, 517, 149, 732 is 1

GCD(813, 517, 149, 732) = 1

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

GCD of

GCD of numbers 813, 517, 149, 732 is 1

GCD(813, 517, 149, 732) = 1

GCD of 813,517,149,732 Calculator

GCDof 813,517,149,732 is 1

Given Input numbers are 813, 517, 149, 732

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 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 813, 517, 149, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 517, 149, 732 is 1.

Therefore, GCD of numbers 813, 517, 149, 732 is 1

Finding GCD of 813, 517, 149, 732 using Prime Factorization

Given Input Data is 813, 517, 149, 732

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

Prime Factorization of 813 is 3 x 271

Prime Factorization of 517 is 11 x 47

Prime Factorization of 149 is 149

Prime Factorization of 732 is 2 x 2 x 3 x 61

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

Finding GCD of 813, 517, 149, 732 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, 517) = 420321

GCD(813, 517) = ( 813 x 517 ) / 420321

GCD(813, 517) = 420321 / 420321

GCD(813, 517) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

GCD of 813, 517, 149, 732 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 813, 517, 149, 732

1. What is the GCD of 813, 517, 149, 732?

GCD of 813, 517, 149, 732 is 1


2. Where do I get the detailed procedure to find GCD of 813, 517, 149, 732?

You can find a detailed procedure to find GCD of 813, 517, 149, 732 on our page.


3. How to find GCD of 813, 517, 149, 732 on a calculator?

You can find the GCD of 813, 517, 149, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.