GCD of 819, 520, 388, 724 Calculator

Given Input numbers are 819, 520, 388, 724

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 819, 520, 388, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 520, 388, 724 is 1.

Therefore, GCD of numbers 819, 520, 388, 724 is 1

Given Input Data is 819, 520, 388, 724

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 724 is 2 x 2 x 181

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

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(819, 520) = 32760

GCD(819, 520) = ( 819 x 520 ) / 32760

GCD(819, 520) = 425880 / 32760

GCD(819, 520) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 388

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

LCM(13, 388) = 5044

GCD(13, 388) = ( 13 x 388 ) / 5044

GCD(13, 388) = 5044 / 5044

GCD(13, 388) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 819, 520, 388, 724 is 1

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1. What is the GCD of 819, 520, 388, 724?

GCD of 819, 520, 388, 724 is 1

2. Where do I get the detailed procedure to find GCD of 819, 520, 388, 724?

You can find a detailed procedure to find GCD of 819, 520, 388, 724 on our page.

3. How to find GCD of 819, 520, 388, 724 on a calculator?

You can find the GCD of 819, 520, 388, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.