GCD of 130, 576, 577, 398 Calculator

Given Input numbers are 130, 576, 577, 398

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

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 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

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 130, 576, 577, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 576, 577, 398 is 1.

Therefore, GCD of numbers 130, 576, 577, 398 is 1

Given Input Data is 130, 576, 577, 398

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 577 is 577

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(130, 576) = 37440

GCD(130, 576) = ( 130 x 576 ) / 37440

GCD(130, 576) = 74880 / 37440

GCD(130, 576) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 577

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

LCM(2, 577) = 1154

GCD(2, 577) = ( 2 x 577 ) / 1154

GCD(2, 577) = 1154 / 1154

GCD(2, 577) = 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 130, 576, 577, 398 is 1

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1. What is the GCD of 130, 576, 577, 398?

GCD of 130, 576, 577, 398 is 1

2. Where do I get the detailed procedure to find GCD of 130, 576, 577, 398?

You can find a detailed procedure to find GCD of 130, 576, 577, 398 on our page.

3. How to find GCD of 130, 576, 577, 398 on a calculator?

You can find the GCD of 130, 576, 577, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.