GCD of 199, 987, 584, 604 Calculator

Given Input numbers are 199, 987, 584, 604

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 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

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 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 199, 987, 584, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 987, 584, 604 is 1.

Therefore, GCD of numbers 199, 987, 584, 604 is 1

Given Input Data is 199, 987, 584, 604

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

Prime Factorization of 199 is 199

Prime Factorization of 987 is 3 x 7 x 47

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

Prime Factorization of 604 is 2 x 2 x 151

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, 987) = 196413

GCD(199, 987) = ( 199 x 987 ) / 196413

GCD(199, 987) = 196413 / 196413

GCD(199, 987) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 199, 987, 584, 604 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 452, 596, 822
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• GCD of 451, 934, 424, 608

1. What is the GCD of 199, 987, 584, 604?

GCD of 199, 987, 584, 604 is 1

2. Where do I get the detailed procedure to find GCD of 199, 987, 584, 604?

You can find a detailed procedure to find GCD of 199, 987, 584, 604 on our page.

3. How to find GCD of 199, 987, 584, 604 on a calculator?

You can find the GCD of 199, 987, 584, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.