GCD of 998, 214, 68, 204 Calculator

Given Input numbers are 998, 214, 68, 204

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 998, 214, 68, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 214, 68, 204 is 2.

Therefore, GCD of numbers 998, 214, 68, 204 is 2

Given Input Data is 998, 214, 68, 204

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 214 is 2 x 107

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(998, 214) = 106786

GCD(998, 214) = ( 998 x 214 ) / 106786

GCD(998, 214) = 213572 / 106786

GCD(998, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 204

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

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

GCD(2, 204) = 408 / 204

GCD(2, 204) = 2

GCD of 998, 214, 68, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 493, 22, 831
• GCD of 292, 191, 91, 656
• GCD of 627, 685, 80, 283
• GCD of 409, 168, 56, 974
• GCD of 132, 161, 51, 566

1. What is the GCD of 998, 214, 68, 204?

GCD of 998, 214, 68, 204 is 2

2. Where do I get the detailed procedure to find GCD of 998, 214, 68, 204?

You can find a detailed procedure to find GCD of 998, 214, 68, 204 on our page.

3. How to find GCD of 998, 214, 68, 204 on a calculator?

You can find the GCD of 998, 214, 68, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.