GCD of 584, 367, 991, 556 Calculator

Given Input numbers are 584, 367, 991, 556

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 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 584, 367, 991, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 367, 991, 556 is 1.

Therefore, GCD of numbers 584, 367, 991, 556 is 1

Given Input Data is 584, 367, 991, 556

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 367 is 367

Prime Factorization of 991 is 991

Prime Factorization of 556 is 2 x 2 x 139

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, 367) = 214328

GCD(584, 367) = ( 584 x 367 ) / 214328

GCD(584, 367) = 214328 / 214328

GCD(584, 367) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 584, 367, 991, 556 is 1

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1. What is the GCD of 584, 367, 991, 556?

GCD of 584, 367, 991, 556 is 1

2. Where do I get the detailed procedure to find GCD of 584, 367, 991, 556?

You can find a detailed procedure to find GCD of 584, 367, 991, 556 on our page.

3. How to find GCD of 584, 367, 991, 556 on a calculator?

You can find the GCD of 584, 367, 991, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.