GCD of 319, 570, 13, 623 Calculator

Given Input numbers are 319, 570, 13, 623

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 319, 570, 13, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 570, 13, 623 is 1.

Therefore, GCD of numbers 319, 570, 13, 623 is 1

Given Input Data is 319, 570, 13, 623

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 13 is 13

Prime Factorization of 623 is 7 x 89

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(319, 570) = 181830

GCD(319, 570) = ( 319 x 570 ) / 181830

GCD(319, 570) = 181830 / 181830

GCD(319, 570) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

GCD of 319, 570, 13, 623 is 1

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1. What is the GCD of 319, 570, 13, 623?

GCD of 319, 570, 13, 623 is 1

2. Where do I get the detailed procedure to find GCD of 319, 570, 13, 623?

You can find a detailed procedure to find GCD of 319, 570, 13, 623 on our page.

3. How to find GCD of 319, 570, 13, 623 on a calculator?

You can find the GCD of 319, 570, 13, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.