GCD of 298, 631, 999, 290 Calculator

Given Input numbers are 298, 631, 999, 290

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 298, 631, 999, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 631, 999, 290 is 1.

Therefore, GCD of numbers 298, 631, 999, 290 is 1

Given Input Data is 298, 631, 999, 290

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 631 is 631

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 290 is 2 x 5 x 29

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(298, 631) = 188038

GCD(298, 631) = ( 298 x 631 ) / 188038

GCD(298, 631) = 188038 / 188038

GCD(298, 631) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 298, 631, 999, 290 is 1

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1. What is the GCD of 298, 631, 999, 290?

GCD of 298, 631, 999, 290 is 1

2. Where do I get the detailed procedure to find GCD of 298, 631, 999, 290?

You can find a detailed procedure to find GCD of 298, 631, 999, 290 on our page.

3. How to find GCD of 298, 631, 999, 290 on a calculator?

You can find the GCD of 298, 631, 999, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.