GCD of 574, 559, 28, 991 Calculator

Given Input numbers are 574, 559, 28, 991

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 991

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

1, 991

Greatest Common Divisior

We found the divisors of 574, 559, 28, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 559, 28, 991 is 1.

Therefore, GCD of numbers 574, 559, 28, 991 is 1

Given Input Data is 574, 559, 28, 991

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 559 is 13 x 43

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 991 is 991

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(574, 559) = 320866

GCD(574, 559) = ( 574 x 559 ) / 320866

GCD(574, 559) = 320866 / 320866

GCD(574, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

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

GCD of 574, 559, 28, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 964, 68, 953
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• GCD of 787, 653, 59, 444
• GCD of 681, 918, 62, 188

1. What is the GCD of 574, 559, 28, 991?

GCD of 574, 559, 28, 991 is 1

2. Where do I get the detailed procedure to find GCD of 574, 559, 28, 991?

You can find a detailed procedure to find GCD of 574, 559, 28, 991 on our page.

3. How to find GCD of 574, 559, 28, 991 on a calculator?

You can find the GCD of 574, 559, 28, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.