GCD of 189, 474, 798, 571 Calculator

Given Input numbers are 189, 474, 798, 571

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Greatest Common Divisior

We found the divisors of 189, 474, 798, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 474, 798, 571 is 1.

Therefore, GCD of numbers 189, 474, 798, 571 is 1

Given Input Data is 189, 474, 798, 571

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 571 is 571

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(189, 474) = 29862

GCD(189, 474) = ( 189 x 474 ) / 29862

GCD(189, 474) = 89586 / 29862

GCD(189, 474) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 798

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

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

GCD(3, 798) = 2394 / 798

GCD(3, 798) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 571

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

LCM(3, 571) = 1713

GCD(3, 571) = ( 3 x 571 ) / 1713

GCD(3, 571) = 1713 / 1713

GCD(3, 571) = 1

GCD of 189, 474, 798, 571 is 1

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1. What is the GCD of 189, 474, 798, 571?

GCD of 189, 474, 798, 571 is 1

2. Where do I get the detailed procedure to find GCD of 189, 474, 798, 571?

You can find a detailed procedure to find GCD of 189, 474, 798, 571 on our page.

3. How to find GCD of 189, 474, 798, 571 on a calculator?

You can find the GCD of 189, 474, 798, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.