GCD of 449, 198, 420, 822 Calculator

Given Input numbers are 449, 198, 420, 822

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

Divisors of 449

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

1, 449

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 449, 198, 420, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 198, 420, 822 is 1.

Therefore, GCD of numbers 449, 198, 420, 822 is 1

Given Input Data is 449, 198, 420, 822

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

Prime Factorization of 449 is 449

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 822 is 2 x 3 x 137

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(449, 198) = 88902

GCD(449, 198) = ( 449 x 198 ) / 88902

GCD(449, 198) = 88902 / 88902

GCD(449, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 449, 198, 420, 822 is 1

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1. What is the GCD of 449, 198, 420, 822?

GCD of 449, 198, 420, 822 is 1

2. Where do I get the detailed procedure to find GCD of 449, 198, 420, 822?

You can find a detailed procedure to find GCD of 449, 198, 420, 822 on our page.

3. How to find GCD of 449, 198, 420, 822 on a calculator?

You can find the GCD of 449, 198, 420, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.