GCD of 396, 576, 803, 596 Calculator

Given Input numbers are 396, 576, 803, 596

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 396, 576, 803, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 576, 803, 596 is 1.

Therefore, GCD of numbers 396, 576, 803, 596 is 1

Given Input Data is 396, 576, 803, 596

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 803 is 11 x 73

Prime Factorization of 596 is 2 x 2 x 149

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(396, 576) = 6336

GCD(396, 576) = ( 396 x 576 ) / 6336

GCD(396, 576) = 228096 / 6336

GCD(396, 576) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 803

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

LCM(36, 803) = 28908

GCD(36, 803) = ( 36 x 803 ) / 28908

GCD(36, 803) = 28908 / 28908

GCD(36, 803) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 396, 576, 803, 596 is 1

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1. What is the GCD of 396, 576, 803, 596?

GCD of 396, 576, 803, 596 is 1

2. Where do I get the detailed procedure to find GCD of 396, 576, 803, 596?

You can find a detailed procedure to find GCD of 396, 576, 803, 596 on our page.

3. How to find GCD of 396, 576, 803, 596 on a calculator?

You can find the GCD of 396, 576, 803, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.