GCD of 205, 820, 84, 572 Calculator

Given Input numbers are 205, 820, 84, 572

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 205, 820, 84, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 820, 84, 572 is 1.

Therefore, GCD of numbers 205, 820, 84, 572 is 1

Given Input Data is 205, 820, 84, 572

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(205, 820) = 820

GCD(205, 820) = ( 205 x 820 ) / 820

GCD(205, 820) = 168100 / 820

GCD(205, 820) = 205

Step2:

Here we consider the GCD from the above i.e. 205 as first number and the next as 84

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

LCM(205, 84) = 17220

GCD(205, 84) = ( 205 x 84 ) / 17220

GCD(205, 84) = 17220 / 17220

GCD(205, 84) = 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 205, 820, 84, 572 is 1

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1. What is the GCD of 205, 820, 84, 572?

GCD of 205, 820, 84, 572 is 1

2. Where do I get the detailed procedure to find GCD of 205, 820, 84, 572?

You can find a detailed procedure to find GCD of 205, 820, 84, 572 on our page.

3. How to find GCD of 205, 820, 84, 572 on a calculator?

You can find the GCD of 205, 820, 84, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.