GCD of 104, 195, 583, 530 Calculator

Given Input numbers are 104, 195, 583, 530

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 195

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

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

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Greatest Common Divisior

We found the divisors of 104, 195, 583, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 195, 583, 530 is 1.

Therefore, GCD of numbers 104, 195, 583, 530 is 1

Given Input Data is 104, 195, 583, 530

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 583 is 11 x 53

Prime Factorization of 530 is 2 x 5 x 53

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(104, 195) = 1560

GCD(104, 195) = ( 104 x 195 ) / 1560

GCD(104, 195) = 20280 / 1560

GCD(104, 195) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 583

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

LCM(13, 583) = 7579

GCD(13, 583) = ( 13 x 583 ) / 7579

GCD(13, 583) = 7579 / 7579

GCD(13, 583) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 530

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

LCM(1, 530) = 530

GCD(1, 530) = ( 1 x 530 ) / 530

GCD(1, 530) = 530 / 530

GCD(1, 530) = 1

GCD of 104, 195, 583, 530 is 1

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1. What is the GCD of 104, 195, 583, 530?

GCD of 104, 195, 583, 530 is 1

2. Where do I get the detailed procedure to find GCD of 104, 195, 583, 530?

You can find a detailed procedure to find GCD of 104, 195, 583, 530 on our page.

3. How to find GCD of 104, 195, 583, 530 on a calculator?

You can find the GCD of 104, 195, 583, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.