GCD of 58, 566, 109, 317 Calculator

Given Input numbers are 58, 566, 109, 317

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

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 58, 566, 109, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 566, 109, 317 is 1.

Therefore, GCD of numbers 58, 566, 109, 317 is 1

Given Input Data is 58, 566, 109, 317

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 566 is 2 x 283

Prime Factorization of 109 is 109

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(58, 566) = 16414

GCD(58, 566) = ( 58 x 566 ) / 16414

GCD(58, 566) = 32828 / 16414

GCD(58, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 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 58, 566, 109, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 683, 988, 802
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• GCD of 98, 433, 666, 344

1. What is the GCD of 58, 566, 109, 317?

GCD of 58, 566, 109, 317 is 1

2. Where do I get the detailed procedure to find GCD of 58, 566, 109, 317?

You can find a detailed procedure to find GCD of 58, 566, 109, 317 on our page.

3. How to find GCD of 58, 566, 109, 317 on a calculator?

You can find the GCD of 58, 566, 109, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.