GCD of 198, 208, 83, 424 Calculator

Given Input numbers are 198, 208, 83, 424

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 198, 208, 83, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 208, 83, 424 is 1.

Therefore, GCD of numbers 198, 208, 83, 424 is 1

Given Input Data is 198, 208, 83, 424

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 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 83 is 83

Prime Factorization of 424 is 2 x 2 x 2 x 53

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, 208) = 20592

GCD(198, 208) = ( 198 x 208 ) / 20592

GCD(198, 208) = 41184 / 20592

GCD(198, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 198, 208, 83, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 129, 22, 340
• GCD of 282, 375, 50, 246
• GCD of 636, 659, 53, 330
• GCD of 710, 856, 71, 665
• GCD of 173, 990, 59, 286

1. What is the GCD of 198, 208, 83, 424?

GCD of 198, 208, 83, 424 is 1

2. Where do I get the detailed procedure to find GCD of 198, 208, 83, 424?

You can find a detailed procedure to find GCD of 198, 208, 83, 424 on our page.

3. How to find GCD of 198, 208, 83, 424 on a calculator?

You can find the GCD of 198, 208, 83, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.