GCD of 398, 447, 922, 558 Calculator

Given Input numbers are 398, 447, 922, 558

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 447

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

1, 3, 149, 447

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 398, 447, 922, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 447, 922, 558 is 1.

Therefore, GCD of numbers 398, 447, 922, 558 is 1

Given Input Data is 398, 447, 922, 558

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 447 is 3 x 149

Prime Factorization of 922 is 2 x 461

Prime Factorization of 558 is 2 x 3 x 3 x 31

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, 447) = 177906

GCD(398, 447) = ( 398 x 447 ) / 177906

GCD(398, 447) = 177906 / 177906

GCD(398, 447) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 398, 447, 922, 558 is 1

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1. What is the GCD of 398, 447, 922, 558?

GCD of 398, 447, 922, 558 is 1

2. Where do I get the detailed procedure to find GCD of 398, 447, 922, 558?

You can find a detailed procedure to find GCD of 398, 447, 922, 558 on our page.

3. How to find GCD of 398, 447, 922, 558 on a calculator?

You can find the GCD of 398, 447, 922, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.