GCD of 381, 194, 72, 195 Calculator

Given Input numbers are 381, 194, 72, 195

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 195

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

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

Greatest Common Divisior

We found the divisors of 381, 194, 72, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 194, 72, 195 is 1.

Therefore, GCD of numbers 381, 194, 72, 195 is 1

Given Input Data is 381, 194, 72, 195

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 194 is 2 x 97

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 195 is 3 x 5 x 13

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(381, 194) = 73914

GCD(381, 194) = ( 381 x 194 ) / 73914

GCD(381, 194) = 73914 / 73914

GCD(381, 194) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1

GCD of 381, 194, 72, 195 is 1

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1. What is the GCD of 381, 194, 72, 195?

GCD of 381, 194, 72, 195 is 1

2. Where do I get the detailed procedure to find GCD of 381, 194, 72, 195?

You can find a detailed procedure to find GCD of 381, 194, 72, 195 on our page.

3. How to find GCD of 381, 194, 72, 195 on a calculator?

You can find the GCD of 381, 194, 72, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.