GCD of 589, 724, 613, 760 Calculator

Given Input numbers are 589, 724, 613, 760

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

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 589, 724, 613, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 724, 613, 760 is 1.

Therefore, GCD of numbers 589, 724, 613, 760 is 1

Given Input Data is 589, 724, 613, 760

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 613 is 613

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(589, 724) = 426436

GCD(589, 724) = ( 589 x 724 ) / 426436

GCD(589, 724) = 426436 / 426436

GCD(589, 724) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 589, 724, 613, 760 is 1

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• GCD of 440, 487, 793, 191

1. What is the GCD of 589, 724, 613, 760?

GCD of 589, 724, 613, 760 is 1

2. Where do I get the detailed procedure to find GCD of 589, 724, 613, 760?

You can find a detailed procedure to find GCD of 589, 724, 613, 760 on our page.

3. How to find GCD of 589, 724, 613, 760 on a calculator?

You can find the GCD of 589, 724, 613, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.