GCD of 570, 549, 20, 694 Calculator

Given Input numbers are 570, 549, 20, 694

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

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 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 570, 549, 20, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 549, 20, 694 is 1.

Therefore, GCD of numbers 570, 549, 20, 694 is 1

Given Input Data is 570, 549, 20, 694

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

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

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 694 is 2 x 347

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(570, 549) = 104310

GCD(570, 549) = ( 570 x 549 ) / 104310

GCD(570, 549) = 312930 / 104310

GCD(570, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 20

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

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

GCD(3, 20) = 60 / 60

GCD(3, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 570, 549, 20, 694 is 1

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1. What is the GCD of 570, 549, 20, 694?

GCD of 570, 549, 20, 694 is 1

2. Where do I get the detailed procedure to find GCD of 570, 549, 20, 694?

You can find a detailed procedure to find GCD of 570, 549, 20, 694 on our page.

3. How to find GCD of 570, 549, 20, 694 on a calculator?

You can find the GCD of 570, 549, 20, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.