GCD of 384, 227, 192, 369 Calculator

Given Input numbers are 384, 227, 192, 369

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

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

Divisors of 227

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

1, 227

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 384, 227, 192, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 227, 192, 369 is 1.

Therefore, GCD of numbers 384, 227, 192, 369 is 1

Given Input Data is 384, 227, 192, 369

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

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

Prime Factorization of 227 is 227

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 369 is 3 x 3 x 41

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(384, 227) = 87168

GCD(384, 227) = ( 384 x 227 ) / 87168

GCD(384, 227) = 87168 / 87168

GCD(384, 227) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 192

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

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

GCD(1, 192) = 192 / 192

GCD(1, 192) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 384, 227, 192, 369 is 1

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1. What is the GCD of 384, 227, 192, 369?

GCD of 384, 227, 192, 369 is 1

2. Where do I get the detailed procedure to find GCD of 384, 227, 192, 369?

You can find a detailed procedure to find GCD of 384, 227, 192, 369 on our page.

3. How to find GCD of 384, 227, 192, 369 on a calculator?

You can find the GCD of 384, 227, 192, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.