GCD of 214, 819, 728, 724 Calculator

Given Input numbers are 214, 819, 728, 724

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 214, 819, 728, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 819, 728, 724 is 1.

Therefore, GCD of numbers 214, 819, 728, 724 is 1

Given Input Data is 214, 819, 728, 724

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

Prime Factorization of 214 is 2 x 107

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(214, 819) = 175266

GCD(214, 819) = ( 214 x 819 ) / 175266

GCD(214, 819) = 175266 / 175266

GCD(214, 819) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 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 214, 819, 728, 724 is 1

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1. What is the GCD of 214, 819, 728, 724?

GCD of 214, 819, 728, 724 is 1

2. Where do I get the detailed procedure to find GCD of 214, 819, 728, 724?

You can find a detailed procedure to find GCD of 214, 819, 728, 724 on our page.

3. How to find GCD of 214, 819, 728, 724 on a calculator?

You can find the GCD of 214, 819, 728, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.