GCD of 803, 990, 449, 144 Calculator

Given Input numbers are 803, 990, 449, 144

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

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

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

Divisors of 449

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

1, 449

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 803, 990, 449, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 990, 449, 144 is 1.

Therefore, GCD of numbers 803, 990, 449, 144 is 1

Given Input Data is 803, 990, 449, 144

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

Prime Factorization of 803 is 11 x 73

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 449 is 449

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(803, 990) = 72270

GCD(803, 990) = ( 803 x 990 ) / 72270

GCD(803, 990) = 794970 / 72270

GCD(803, 990) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 449

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

LCM(11, 449) = 4939

GCD(11, 449) = ( 11 x 449 ) / 4939

GCD(11, 449) = 4939 / 4939

GCD(11, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 803, 990, 449, 144 is 1

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1. What is the GCD of 803, 990, 449, 144?

GCD of 803, 990, 449, 144 is 1

2. Where do I get the detailed procedure to find GCD of 803, 990, 449, 144?

You can find a detailed procedure to find GCD of 803, 990, 449, 144 on our page.

3. How to find GCD of 803, 990, 449, 144 on a calculator?

You can find the GCD of 803, 990, 449, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.