GCD of 298, 104, 907, 990 Calculator

Given Input numbers are 298, 104, 907, 990

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 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 298, 104, 907, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 104, 907, 990 is 1.

Therefore, GCD of numbers 298, 104, 907, 990 is 1

Given Input Data is 298, 104, 907, 990

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 907 is 907

Prime Factorization of 990 is 2 x 3 x 3 x 5 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(298, 104) = 15496

GCD(298, 104) = ( 298 x 104 ) / 15496

GCD(298, 104) = 30992 / 15496

GCD(298, 104) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 907

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

LCM(2, 907) = 1814

GCD(2, 907) = ( 2 x 907 ) / 1814

GCD(2, 907) = 1814 / 1814

GCD(2, 907) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 298, 104, 907, 990 is 1

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1. What is the GCD of 298, 104, 907, 990?

GCD of 298, 104, 907, 990 is 1

2. Where do I get the detailed procedure to find GCD of 298, 104, 907, 990?

You can find a detailed procedure to find GCD of 298, 104, 907, 990 on our page.

3. How to find GCD of 298, 104, 907, 990 on a calculator?

You can find the GCD of 298, 104, 907, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.