GCD of 384, 186, 38, 495 Calculator

Given Input numbers are 384, 186, 38, 495

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 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 384, 186, 38, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 186, 38, 495 is 1.

Therefore, GCD of numbers 384, 186, 38, 495 is 1

Given Input Data is 384, 186, 38, 495

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 186 is 2 x 3 x 31

Prime Factorization of 38 is 2 x 19

Prime Factorization of 495 is 3 x 3 x 5 x 11

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, 186) = 11904

GCD(384, 186) = ( 384 x 186 ) / 11904

GCD(384, 186) = 71424 / 11904

GCD(384, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 38

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

LCM(6, 38) = 114

GCD(6, 38) = ( 6 x 38 ) / 114

GCD(6, 38) = 228 / 114

GCD(6, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 495

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

LCM(2, 495) = 990

GCD(2, 495) = ( 2 x 495 ) / 990

GCD(2, 495) = 990 / 990

GCD(2, 495) = 1

GCD of 384, 186, 38, 495 is 1

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1. What is the GCD of 384, 186, 38, 495?

GCD of 384, 186, 38, 495 is 1

2. Where do I get the detailed procedure to find GCD of 384, 186, 38, 495?

You can find a detailed procedure to find GCD of 384, 186, 38, 495 on our page.

3. How to find GCD of 384, 186, 38, 495 on a calculator?

You can find the GCD of 384, 186, 38, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.