GCD of 502, 314, 789, 388 Calculator

Given Input numbers are 502, 314, 789, 388

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

Divisors of 502

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

1, 2, 251, 502

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 502, 314, 789, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 314, 789, 388 is 1.

Therefore, GCD of numbers 502, 314, 789, 388 is 1

Given Input Data is 502, 314, 789, 388

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 314 is 2 x 157

Prime Factorization of 789 is 3 x 263

Prime Factorization of 388 is 2 x 2 x 97

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(502, 314) = 78814

GCD(502, 314) = ( 502 x 314 ) / 78814

GCD(502, 314) = 157628 / 78814

GCD(502, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 789

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

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

GCD(2, 789) = 1578 / 1578

GCD(2, 789) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 388

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

LCM(1, 388) = 388

GCD(1, 388) = ( 1 x 388 ) / 388

GCD(1, 388) = 388 / 388

GCD(1, 388) = 1

GCD of 502, 314, 789, 388 is 1

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1. What is the GCD of 502, 314, 789, 388?

GCD of 502, 314, 789, 388 is 1

2. Where do I get the detailed procedure to find GCD of 502, 314, 789, 388?

You can find a detailed procedure to find GCD of 502, 314, 789, 388 on our page.

3. How to find GCD of 502, 314, 789, 388 on a calculator?

You can find the GCD of 502, 314, 789, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.