GCD of 843, 224, 449, 990 Calculator

Given Input numbers are 843, 224, 449, 990

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

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 449

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

1, 449

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 843, 224, 449, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 224, 449, 990 is 1.

Therefore, GCD of numbers 843, 224, 449, 990 is 1

Given Input Data is 843, 224, 449, 990

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

Prime Factorization of 843 is 3 x 281

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 449 is 449

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(843, 224) = 188832

GCD(843, 224) = ( 843 x 224 ) / 188832

GCD(843, 224) = 188832 / 188832

GCD(843, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 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 843, 224, 449, 990 is 1

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1. What is the GCD of 843, 224, 449, 990?

GCD of 843, 224, 449, 990 is 1

2. Where do I get the detailed procedure to find GCD of 843, 224, 449, 990?

You can find a detailed procedure to find GCD of 843, 224, 449, 990 on our page.

3. How to find GCD of 843, 224, 449, 990 on a calculator?

You can find the GCD of 843, 224, 449, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.