GCD of 609, 896, 20, 572 Calculator

Given Input numbers are 609, 896, 20, 572

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 609, 896, 20, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 896, 20, 572 is 1.

Therefore, GCD of numbers 609, 896, 20, 572 is 1

Given Input Data is 609, 896, 20, 572

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 572 is 2 x 2 x 11 x 13

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(609, 896) = 77952

GCD(609, 896) = ( 609 x 896 ) / 77952

GCD(609, 896) = 545664 / 77952

GCD(609, 896) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 20

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

LCM(7, 20) = 140

GCD(7, 20) = ( 7 x 20 ) / 140

GCD(7, 20) = 140 / 140

GCD(7, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 572

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

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

GCD(1, 572) = 572 / 572

GCD(1, 572) = 1

GCD of 609, 896, 20, 572 is 1

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1. What is the GCD of 609, 896, 20, 572?

GCD of 609, 896, 20, 572 is 1

2. Where do I get the detailed procedure to find GCD of 609, 896, 20, 572?

You can find a detailed procedure to find GCD of 609, 896, 20, 572 on our page.

3. How to find GCD of 609, 896, 20, 572 on a calculator?

You can find the GCD of 609, 896, 20, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.