GCD of 449, 772, 473, 421 Calculator

Given Input numbers are 449, 772, 473, 421

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 449, 772, 473, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 772, 473, 421 is 1.

Therefore, GCD of numbers 449, 772, 473, 421 is 1

Given Input Data is 449, 772, 473, 421

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

Prime Factorization of 449 is 449

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 473 is 11 x 43

Prime Factorization of 421 is 421

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, 772) = 346628

GCD(449, 772) = ( 449 x 772 ) / 346628

GCD(449, 772) = 346628 / 346628

GCD(449, 772) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 449, 772, 473, 421 is 1

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1. What is the GCD of 449, 772, 473, 421?

GCD of 449, 772, 473, 421 is 1

2. Where do I get the detailed procedure to find GCD of 449, 772, 473, 421?

You can find a detailed procedure to find GCD of 449, 772, 473, 421 on our page.

3. How to find GCD of 449, 772, 473, 421 on a calculator?

You can find the GCD of 449, 772, 473, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.