GCD of 198, 187, 296, 508 Calculator

Given Input numbers are 198, 187, 296, 508

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 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 198, 187, 296, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 187, 296, 508 is 1.

Therefore, GCD of numbers 198, 187, 296, 508 is 1

Given Input Data is 198, 187, 296, 508

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 187 is 11 x 17

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 508 is 2 x 2 x 127

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(198, 187) = 3366

GCD(198, 187) = ( 198 x 187 ) / 3366

GCD(198, 187) = 37026 / 3366

GCD(198, 187) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 296

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

LCM(11, 296) = 3256

GCD(11, 296) = ( 11 x 296 ) / 3256

GCD(11, 296) = 3256 / 3256

GCD(11, 296) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 198, 187, 296, 508 is 1

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1. What is the GCD of 198, 187, 296, 508?

GCD of 198, 187, 296, 508 is 1

2. Where do I get the detailed procedure to find GCD of 198, 187, 296, 508?

You can find a detailed procedure to find GCD of 198, 187, 296, 508 on our page.

3. How to find GCD of 198, 187, 296, 508 on a calculator?

You can find the GCD of 198, 187, 296, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.