GCD of 998, 622, 556 Calculator

Given Input numbers are 998, 622, 556

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

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 998, 622, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 622, 556 is 2.

Therefore, GCD of numbers 998, 622, 556 is 2

Given Input Data is 998, 622, 556

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 622 is 2 x 311

Prime Factorization of 556 is 2 x 2 x 139

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(998, 622) = 310378

GCD(998, 622) = ( 998 x 622 ) / 310378

GCD(998, 622) = 620756 / 310378

GCD(998, 622) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 556

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

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

GCD(2, 556) = 1112 / 556

GCD(2, 556) = 2

GCD of 998, 622, 556 is 2

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1. What is the GCD of 998, 622, 556?

GCD of 998, 622, 556 is 2

2. Where do I get the detailed procedure to find GCD of 998, 622, 556?

You can find a detailed procedure to find GCD of 998, 622, 556 on our page.

3. How to find GCD of 998, 622, 556 on a calculator?

You can find the GCD of 998, 622, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.