GCD of 990, 113, 323, 556 Calculator

Given Input numbers are 990, 113, 323, 556

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

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 990, 113, 323, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 113, 323, 556 is 1.

Therefore, GCD of numbers 990, 113, 323, 556 is 1

Given Input Data is 990, 113, 323, 556

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 113 is 113

Prime Factorization of 323 is 17 x 19

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(990, 113) = 111870

GCD(990, 113) = ( 990 x 113 ) / 111870

GCD(990, 113) = 111870 / 111870

GCD(990, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 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 990, 113, 323, 556 is 1

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1. What is the GCD of 990, 113, 323, 556?

GCD of 990, 113, 323, 556 is 1

2. Where do I get the detailed procedure to find GCD of 990, 113, 323, 556?

You can find a detailed procedure to find GCD of 990, 113, 323, 556 on our page.

3. How to find GCD of 990, 113, 323, 556 on a calculator?

You can find the GCD of 990, 113, 323, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.