GCD of 195, 384, 478, 133 Calculator

Given Input numbers are 195, 384, 478, 133

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

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 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 195, 384, 478, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 384, 478, 133 is 1.

Therefore, GCD of numbers 195, 384, 478, 133 is 1

Given Input Data is 195, 384, 478, 133

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

Prime Factorization of 195 is 3 x 5 x 13

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 133 is 7 x 19

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(195, 384) = 24960

GCD(195, 384) = ( 195 x 384 ) / 24960

GCD(195, 384) = 74880 / 24960

GCD(195, 384) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 478

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

LCM(3, 478) = 1434

GCD(3, 478) = ( 3 x 478 ) / 1434

GCD(3, 478) = 1434 / 1434

GCD(3, 478) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 195, 384, 478, 133 is 1

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1. What is the GCD of 195, 384, 478, 133?

GCD of 195, 384, 478, 133 is 1

2. Where do I get the detailed procedure to find GCD of 195, 384, 478, 133?

You can find a detailed procedure to find GCD of 195, 384, 478, 133 on our page.

3. How to find GCD of 195, 384, 478, 133 on a calculator?

You can find the GCD of 195, 384, 478, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.