GCD of 556, 294, 99, 872 Calculator

Given Input numbers are 556, 294, 99, 872

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

Divisors of 556

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

1, 2, 4, 139, 278, 556

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 556, 294, 99, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 294, 99, 872 is 1.

Therefore, GCD of numbers 556, 294, 99, 872 is 1

Given Input Data is 556, 294, 99, 872

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(556, 294) = 81732

GCD(556, 294) = ( 556 x 294 ) / 81732

GCD(556, 294) = 163464 / 81732

GCD(556, 294) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 556, 294, 99, 872 is 1

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• GCD of 427, 176, 46, 106
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1. What is the GCD of 556, 294, 99, 872?

GCD of 556, 294, 99, 872 is 1

2. Where do I get the detailed procedure to find GCD of 556, 294, 99, 872?

You can find a detailed procedure to find GCD of 556, 294, 99, 872 on our page.

3. How to find GCD of 556, 294, 99, 872 on a calculator?

You can find the GCD of 556, 294, 99, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.