GCD of 190, 204, 31, 130 Calculator

Given Input numbers are 190, 204, 31, 130

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

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 190, 204, 31, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 204, 31, 130 is 1.

Therefore, GCD of numbers 190, 204, 31, 130 is 1

Given Input Data is 190, 204, 31, 130

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

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 31 is 31

Prime Factorization of 130 is 2 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(190, 204) = 19380

GCD(190, 204) = ( 190 x 204 ) / 19380

GCD(190, 204) = 38760 / 19380

GCD(190, 204) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 190, 204, 31, 130 is 1

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1. What is the GCD of 190, 204, 31, 130?

GCD of 190, 204, 31, 130 is 1

2. Where do I get the detailed procedure to find GCD of 190, 204, 31, 130?

You can find a detailed procedure to find GCD of 190, 204, 31, 130 on our page.

3. How to find GCD of 190, 204, 31, 130 on a calculator?

You can find the GCD of 190, 204, 31, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.