GCD of 398, 437, 843, 447 Calculator

Given Input numbers are 398, 437, 843, 447

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 843

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

1, 3, 281, 843

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 398, 437, 843, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 437, 843, 447 is 1.

Therefore, GCD of numbers 398, 437, 843, 447 is 1

Given Input Data is 398, 437, 843, 447

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 437 is 19 x 23

Prime Factorization of 843 is 3 x 281

Prime Factorization of 447 is 3 x 149

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(398, 437) = 173926

GCD(398, 437) = ( 398 x 437 ) / 173926

GCD(398, 437) = 173926 / 173926

GCD(398, 437) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 843

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

LCM(1, 843) = 843

GCD(1, 843) = ( 1 x 843 ) / 843

GCD(1, 843) = 843 / 843

GCD(1, 843) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

GCD of 398, 437, 843, 447 is 1

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1. What is the GCD of 398, 437, 843, 447?

GCD of 398, 437, 843, 447 is 1

2. Where do I get the detailed procedure to find GCD of 398, 437, 843, 447?

You can find a detailed procedure to find GCD of 398, 437, 843, 447 on our page.

3. How to find GCD of 398, 437, 843, 447 on a calculator?

You can find the GCD of 398, 437, 843, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.