GCD of 58, 317, 502, 254 Calculator

Given Input numbers are 58, 317, 502, 254

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 317

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

1, 317

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 58, 317, 502, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 317, 502, 254 is 1.

Therefore, GCD of numbers 58, 317, 502, 254 is 1

Given Input Data is 58, 317, 502, 254

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 317 is 317

Prime Factorization of 502 is 2 x 251

Prime Factorization of 254 is 2 x 127

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, 317) = 18386

GCD(58, 317) = ( 58 x 317 ) / 18386

GCD(58, 317) = 18386 / 18386

GCD(58, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 58, 317, 502, 254 is 1

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• GCD of 85, 366, 803, 482
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• GCD of 61, 452, 208, 505

1. What is the GCD of 58, 317, 502, 254?

GCD of 58, 317, 502, 254 is 1

2. Where do I get the detailed procedure to find GCD of 58, 317, 502, 254?

You can find a detailed procedure to find GCD of 58, 317, 502, 254 on our page.

3. How to find GCD of 58, 317, 502, 254 on a calculator?

You can find the GCD of 58, 317, 502, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.