GCD of 21, 573, 573, 896 Calculator

Given Input numbers are 21, 573, 573, 896

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

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

Greatest Common Divisior

We found the divisors of 21, 573, 573, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 573, 573, 896 is 1.

Therefore, GCD of numbers 21, 573, 573, 896 is 1

Given Input Data is 21, 573, 573, 896

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 573 is 3 x 191

Prime Factorization of 573 is 3 x 191

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

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(21, 573) = 4011

GCD(21, 573) = ( 21 x 573 ) / 4011

GCD(21, 573) = 12033 / 4011

GCD(21, 573) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 573

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

LCM(3, 573) = 573

GCD(3, 573) = ( 3 x 573 ) / 573

GCD(3, 573) = 1719 / 573

GCD(3, 573) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 896

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

LCM(3, 896) = 2688

GCD(3, 896) = ( 3 x 896 ) / 2688

GCD(3, 896) = 2688 / 2688

GCD(3, 896) = 1

GCD of 21, 573, 573, 896 is 1

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1. What is the GCD of 21, 573, 573, 896?

GCD of 21, 573, 573, 896 is 1

2. Where do I get the detailed procedure to find GCD of 21, 573, 573, 896?

You can find a detailed procedure to find GCD of 21, 573, 573, 896 on our page.

3. How to find GCD of 21, 573, 573, 896 on a calculator?

You can find the GCD of 21, 573, 573, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.