GCD of 108, 255, 98, 198 Calculator

Given Input numbers are 108, 255, 98, 198

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

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 108, 255, 98, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 255, 98, 198 is 1.

Therefore, GCD of numbers 108, 255, 98, 198 is 1

Given Input Data is 108, 255, 98, 198

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 98 is 2 x 7 x 7

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

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(108, 255) = 9180

GCD(108, 255) = ( 108 x 255 ) / 9180

GCD(108, 255) = 27540 / 9180

GCD(108, 255) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 98

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

LCM(3, 98) = 294

GCD(3, 98) = ( 3 x 98 ) / 294

GCD(3, 98) = 294 / 294

GCD(3, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 108, 255, 98, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 820, 54, 516
• GCD of 317, 916, 64, 483
• GCD of 192, 261, 43, 231
• GCD of 684, 959, 51, 182
• GCD of 285, 817, 93, 434

1. What is the GCD of 108, 255, 98, 198?

GCD of 108, 255, 98, 198 is 1

2. Where do I get the detailed procedure to find GCD of 108, 255, 98, 198?

You can find a detailed procedure to find GCD of 108, 255, 98, 198 on our page.

3. How to find GCD of 108, 255, 98, 198 on a calculator?

You can find the GCD of 108, 255, 98, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.