GCD of 500, 909, 576, 388 Calculator

Given Input numbers are 500, 909, 576, 388

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

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 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 500, 909, 576, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 909, 576, 388 is 1.

Therefore, GCD of numbers 500, 909, 576, 388 is 1

Given Input Data is 500, 909, 576, 388

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 909 is 3 x 3 x 101

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

Prime Factorization of 388 is 2 x 2 x 97

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(500, 909) = 454500

GCD(500, 909) = ( 500 x 909 ) / 454500

GCD(500, 909) = 454500 / 454500

GCD(500, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 388

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

LCM(1, 388) = 388

GCD(1, 388) = ( 1 x 388 ) / 388

GCD(1, 388) = 388 / 388

GCD(1, 388) = 1

GCD of 500, 909, 576, 388 is 1

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1. What is the GCD of 500, 909, 576, 388?

GCD of 500, 909, 576, 388 is 1

2. Where do I get the detailed procedure to find GCD of 500, 909, 576, 388?

You can find a detailed procedure to find GCD of 500, 909, 576, 388 on our page.

3. How to find GCD of 500, 909, 576, 388 on a calculator?

You can find the GCD of 500, 909, 576, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.