GCD of 508, 332, 886, 313 Calculator

Given Input numbers are 508, 332, 886, 313

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 508, 332, 886, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 332, 886, 313 is 1.

Therefore, GCD of numbers 508, 332, 886, 313 is 1

Given Input Data is 508, 332, 886, 313

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 886 is 2 x 443

Prime Factorization of 313 is 313

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(508, 332) = 42164

GCD(508, 332) = ( 508 x 332 ) / 42164

GCD(508, 332) = 168656 / 42164

GCD(508, 332) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 886

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

LCM(4, 886) = 1772

GCD(4, 886) = ( 4 x 886 ) / 1772

GCD(4, 886) = 3544 / 1772

GCD(4, 886) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 313

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

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

GCD(2, 313) = 626 / 626

GCD(2, 313) = 1

GCD of 508, 332, 886, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 171, 909, 252
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1. What is the GCD of 508, 332, 886, 313?

GCD of 508, 332, 886, 313 is 1

2. Where do I get the detailed procedure to find GCD of 508, 332, 886, 313?

You can find a detailed procedure to find GCD of 508, 332, 886, 313 on our page.

3. How to find GCD of 508, 332, 886, 313 on a calculator?

You can find the GCD of 508, 332, 886, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.