GCD of 198, 556, 76 Calculator

Given Input numbers are 198, 556, 76

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 556

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

1, 2, 4, 139, 278, 556

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Greatest Common Divisior

We found the divisors of 198, 556, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 556, 76 is 2.

Therefore, GCD of numbers 198, 556, 76 is 2

Given Input Data is 198, 556, 76

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 76 is 2 x 2 x 19

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(198, 556) = 55044

GCD(198, 556) = ( 198 x 556 ) / 55044

GCD(198, 556) = 110088 / 55044

GCD(198, 556) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

GCD of 198, 556, 76 is 2

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1. What is the GCD of 198, 556, 76?

GCD of 198, 556, 76 is 2

2. Where do I get the detailed procedure to find GCD of 198, 556, 76?

You can find a detailed procedure to find GCD of 198, 556, 76 on our page.

3. How to find GCD of 198, 556, 76 on a calculator?

You can find the GCD of 198, 556, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.