GCD of 390, 567, 298, 998 Calculator

Given Input numbers are 390, 567, 298, 998

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

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 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 298

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

1, 2, 149, 298

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 390, 567, 298, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 567, 298, 998 is 1.

Therefore, GCD of numbers 390, 567, 298, 998 is 1

Given Input Data is 390, 567, 298, 998

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

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 298 is 2 x 149

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(390, 567) = 73710

GCD(390, 567) = ( 390 x 567 ) / 73710

GCD(390, 567) = 221130 / 73710

GCD(390, 567) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 298

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

LCM(3, 298) = 894

GCD(3, 298) = ( 3 x 298 ) / 894

GCD(3, 298) = 894 / 894

GCD(3, 298) = 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 390, 567, 298, 998 is 1

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1. What is the GCD of 390, 567, 298, 998?

GCD of 390, 567, 298, 998 is 1

2. Where do I get the detailed procedure to find GCD of 390, 567, 298, 998?

You can find a detailed procedure to find GCD of 390, 567, 298, 998 on our page.

3. How to find GCD of 390, 567, 298, 998 on a calculator?

You can find the GCD of 390, 567, 298, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.