GCD of 573, 456, 579, 393 Calculator

Given Input numbers are 573, 456, 579, 393

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

Divisors of 573

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

1, 3, 191, 573

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 573, 456, 579, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 456, 579, 393 is 3.

Therefore, GCD of numbers 573, 456, 579, 393 is 3

Given Input Data is 573, 456, 579, 393

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

Prime Factorization of 573 is 3 x 191

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 579 is 3 x 193

Prime Factorization of 393 is 3 x 131

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(573, 456) = 87096

GCD(573, 456) = ( 573 x 456 ) / 87096

GCD(573, 456) = 261288 / 87096

GCD(573, 456) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 579

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

LCM(3, 579) = 579

GCD(3, 579) = ( 3 x 579 ) / 579

GCD(3, 579) = 1737 / 579

GCD(3, 579) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 393

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

LCM(3, 393) = 393

GCD(3, 393) = ( 3 x 393 ) / 393

GCD(3, 393) = 1179 / 393

GCD(3, 393) = 3

GCD of 573, 456, 579, 393 is 3

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1. What is the GCD of 573, 456, 579, 393?

GCD of 573, 456, 579, 393 is 3

2. Where do I get the detailed procedure to find GCD of 573, 456, 579, 393?

You can find a detailed procedure to find GCD of 573, 456, 579, 393 on our page.

3. How to find GCD of 573, 456, 579, 393 on a calculator?

You can find the GCD of 573, 456, 579, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.