GCD of 584, 130, 809, 398 Calculator

Given Input numbers are 584, 130, 809, 398

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 130

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

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 584, 130, 809, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 130, 809, 398 is 1.

Therefore, GCD of numbers 584, 130, 809, 398 is 1

Given Input Data is 584, 130, 809, 398

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 809 is 809

Prime Factorization of 398 is 2 x 199

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(584, 130) = 37960

GCD(584, 130) = ( 584 x 130 ) / 37960

GCD(584, 130) = 75920 / 37960

GCD(584, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 809

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

LCM(2, 809) = 1618

GCD(2, 809) = ( 2 x 809 ) / 1618

GCD(2, 809) = 1618 / 1618

GCD(2, 809) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 584, 130, 809, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 430, 913, 395
• GCD of 916, 826, 991, 387
• GCD of 574, 452, 682, 885
• GCD of 128, 770, 906, 925
• GCD of 861, 611, 563, 813

1. What is the GCD of 584, 130, 809, 398?

GCD of 584, 130, 809, 398 is 1

2. Where do I get the detailed procedure to find GCD of 584, 130, 809, 398?

You can find a detailed procedure to find GCD of 584, 130, 809, 398 on our page.

3. How to find GCD of 584, 130, 809, 398 on a calculator?

You can find the GCD of 584, 130, 809, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.