GCD of 638, 515, 656, 313 Calculator

Given Input numbers are 638, 515, 656, 313

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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 638, 515, 656, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 515, 656, 313 is 1.

Therefore, GCD of numbers 638, 515, 656, 313 is 1

Given Input Data is 638, 515, 656, 313

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 515 is 5 x 103

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(638, 515) = 328570

GCD(638, 515) = ( 638 x 515 ) / 328570

GCD(638, 515) = 328570 / 328570

GCD(638, 515) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 638, 515, 656, 313 is 1

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1. What is the GCD of 638, 515, 656, 313?

GCD of 638, 515, 656, 313 is 1

2. Where do I get the detailed procedure to find GCD of 638, 515, 656, 313?

You can find a detailed procedure to find GCD of 638, 515, 656, 313 on our page.

3. How to find GCD of 638, 515, 656, 313 on a calculator?

You can find the GCD of 638, 515, 656, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.