GCD of 381, 481, 509, 130 Calculator

Given Input numbers are 381, 481, 509, 130

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 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

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 381, 481, 509, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 481, 509, 130 is 1.

Therefore, GCD of numbers 381, 481, 509, 130 is 1

Given Input Data is 381, 481, 509, 130

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 481 is 13 x 37

Prime Factorization of 509 is 509

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(381, 481) = 183261

GCD(381, 481) = ( 381 x 481 ) / 183261

GCD(381, 481) = 183261 / 183261

GCD(381, 481) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 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 381, 481, 509, 130 is 1

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1. What is the GCD of 381, 481, 509, 130?

GCD of 381, 481, 509, 130 is 1

2. Where do I get the detailed procedure to find GCD of 381, 481, 509, 130?

You can find a detailed procedure to find GCD of 381, 481, 509, 130 on our page.

3. How to find GCD of 381, 481, 509, 130 on a calculator?

You can find the GCD of 381, 481, 509, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.