GCD of 838, 449, 584, 990 Calculator

Given Input numbers are 838, 449, 584, 990

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

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 838, 449, 584, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 449, 584, 990 is 1.

Therefore, GCD of numbers 838, 449, 584, 990 is 1

Given Input Data is 838, 449, 584, 990

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 449 is 449

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(838, 449) = 376262

GCD(838, 449) = ( 838 x 449 ) / 376262

GCD(838, 449) = 376262 / 376262

GCD(838, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 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 838, 449, 584, 990 is 1

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1. What is the GCD of 838, 449, 584, 990?

GCD of 838, 449, 584, 990 is 1

2. Where do I get the detailed procedure to find GCD of 838, 449, 584, 990?

You can find a detailed procedure to find GCD of 838, 449, 584, 990 on our page.

3. How to find GCD of 838, 449, 584, 990 on a calculator?

You can find the GCD of 838, 449, 584, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.