GCD of 289, 390, 97, 998 Calculator

Given Input numbers are 289, 390, 97, 998

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

Divisors of 289

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

1, 17, 289

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 97

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

1, 97

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 289, 390, 97, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 390, 97, 998 is 1.

Therefore, GCD of numbers 289, 390, 97, 998 is 1

Given Input Data is 289, 390, 97, 998

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 97 is 97

Prime Factorization of 998 is 2 x 499

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(289, 390) = 112710

GCD(289, 390) = ( 289 x 390 ) / 112710

GCD(289, 390) = 112710 / 112710

GCD(289, 390) = 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 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 289, 390, 97, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 976, 91, 235
• GCD of 479, 772, 31, 639
• GCD of 493, 154, 12, 602
• GCD of 228, 177, 34, 470
• GCD of 943, 780, 29, 532

1. What is the GCD of 289, 390, 97, 998?

GCD of 289, 390, 97, 998 is 1

2. Where do I get the detailed procedure to find GCD of 289, 390, 97, 998?

You can find a detailed procedure to find GCD of 289, 390, 97, 998 on our page.

3. How to find GCD of 289, 390, 97, 998 on a calculator?

You can find the GCD of 289, 390, 97, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.