GCD of 998, 289, 97, 231 Calculator

Given Input numbers are 998, 289, 97, 231

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 998, 289, 97, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 289, 97, 231 is 1.

Therefore, GCD of numbers 998, 289, 97, 231 is 1

Given Input Data is 998, 289, 97, 231

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 289 is 17 x 17

Prime Factorization of 97 is 97

Prime Factorization of 231 is 3 x 7 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(998, 289) = 288422

GCD(998, 289) = ( 998 x 289 ) / 288422

GCD(998, 289) = 288422 / 288422

GCD(998, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 998, 289, 97, 231 is 1

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1. What is the GCD of 998, 289, 97, 231?

GCD of 998, 289, 97, 231 is 1

2. Where do I get the detailed procedure to find GCD of 998, 289, 97, 231?

You can find a detailed procedure to find GCD of 998, 289, 97, 231 on our page.

3. How to find GCD of 998, 289, 97, 231 on a calculator?

You can find the GCD of 998, 289, 97, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.