GCD of 574, 596, 198 Calculator

Given Input numbers are 574, 596, 198

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 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

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

Greatest Common Divisior

We found the divisors of 574, 596, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 596, 198 is 2.

Therefore, GCD of numbers 574, 596, 198 is 2

Given Input Data is 574, 596, 198

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 596 is 2 x 2 x 149

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

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(574, 596) = 171052

GCD(574, 596) = ( 574 x 596 ) / 171052

GCD(574, 596) = 342104 / 171052

GCD(574, 596) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

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

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

GCD of 574, 596, 198 is 2

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 574, 596, 198?

GCD of 574, 596, 198 is 2

2. Where do I get the detailed procedure to find GCD of 574, 596, 198?

You can find a detailed procedure to find GCD of 574, 596, 198 on our page.

3. How to find GCD of 574, 596, 198 on a calculator?

You can find the GCD of 574, 596, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.