GCD of 574, 589, 938 Calculator

Given Input numbers are 574, 589, 938

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 589

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

1, 19, 31, 589

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 574, 589, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 589, 938 is 1.

Therefore, GCD of numbers 574, 589, 938 is 1

Given Input Data is 574, 589, 938

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 589 is 19 x 31

Prime Factorization of 938 is 2 x 7 x 67

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(574, 589) = 338086

GCD(574, 589) = ( 574 x 589 ) / 338086

GCD(574, 589) = 338086 / 338086

GCD(574, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 574, 589, 938 is 1

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1. What is the GCD of 574, 589, 938?

GCD of 574, 589, 938 is 1

2. Where do I get the detailed procedure to find GCD of 574, 589, 938?

You can find a detailed procedure to find GCD of 574, 589, 938 on our page.

3. How to find GCD of 574, 589, 938 on a calculator?

You can find the GCD of 574, 589, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.