GCD of 428, 577, 38, 317 Calculator

Given Input numbers are 428, 577, 38, 317

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 428, 577, 38, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 577, 38, 317 is 1.

Therefore, GCD of numbers 428, 577, 38, 317 is 1

Given Input Data is 428, 577, 38, 317

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 577 is 577

Prime Factorization of 38 is 2 x 19

Prime Factorization of 317 is 317

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(428, 577) = 246956

GCD(428, 577) = ( 428 x 577 ) / 246956

GCD(428, 577) = 246956 / 246956

GCD(428, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 428, 577, 38, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 582, 71, 905
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1. What is the GCD of 428, 577, 38, 317?

GCD of 428, 577, 38, 317 is 1

2. Where do I get the detailed procedure to find GCD of 428, 577, 38, 317?

You can find a detailed procedure to find GCD of 428, 577, 38, 317 on our page.

3. How to find GCD of 428, 577, 38, 317 on a calculator?

You can find the GCD of 428, 577, 38, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.