GCD of 227, 900, 384 Calculator

Given Input numbers are 227, 900, 384

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

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 227, 900, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 900, 384 is 1.

Therefore, GCD of numbers 227, 900, 384 is 1

Given Input Data is 227, 900, 384

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

Prime Factorization of 227 is 227

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(227, 900) = 204300

GCD(227, 900) = ( 227 x 900 ) / 204300

GCD(227, 900) = 204300 / 204300

GCD(227, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 227, 900, 384 is 1

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1. What is the GCD of 227, 900, 384?

GCD of 227, 900, 384 is 1

2. Where do I get the detailed procedure to find GCD of 227, 900, 384?

You can find a detailed procedure to find GCD of 227, 900, 384 on our page.

3. How to find GCD of 227, 900, 384 on a calculator?

You can find the GCD of 227, 900, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.