GCD of 199, 584, 612, 508 Calculator

Given Input numbers are 199, 584, 612, 508

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

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 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 199, 584, 612, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 584, 612, 508 is 1.

Therefore, GCD of numbers 199, 584, 612, 508 is 1

Given Input Data is 199, 584, 612, 508

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

Prime Factorization of 199 is 199

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 508 is 2 x 2 x 127

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(199, 584) = 116216

GCD(199, 584) = ( 199 x 584 ) / 116216

GCD(199, 584) = 116216 / 116216

GCD(199, 584) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 199, 584, 612, 508 is 1

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1. What is the GCD of 199, 584, 612, 508?

GCD of 199, 584, 612, 508 is 1

2. Where do I get the detailed procedure to find GCD of 199, 584, 612, 508?

You can find a detailed procedure to find GCD of 199, 584, 612, 508 on our page.

3. How to find GCD of 199, 584, 612, 508 on a calculator?

You can find the GCD of 199, 584, 612, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.