GCD of 314, 813, 388, 627 Calculator

Given Input numbers are 314, 813, 388, 627

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

Divisors of 314

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

1, 2, 157, 314

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 388

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

1, 2, 4, 97, 194, 388

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 314, 813, 388, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 813, 388, 627 is 1.

Therefore, GCD of numbers 314, 813, 388, 627 is 1

Given Input Data is 314, 813, 388, 627

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 813 is 3 x 271

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 627 is 3 x 11 x 19

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(314, 813) = 255282

GCD(314, 813) = ( 314 x 813 ) / 255282

GCD(314, 813) = 255282 / 255282

GCD(314, 813) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

GCD of 314, 813, 388, 627 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 593, 913, 848
• GCD of 476, 285, 889, 147
• GCD of 627, 433, 241, 378
• GCD of 742, 869, 342, 991
• GCD of 912, 250, 634, 853

1. What is the GCD of 314, 813, 388, 627?

GCD of 314, 813, 388, 627 is 1

2. Where do I get the detailed procedure to find GCD of 314, 813, 388, 627?

You can find a detailed procedure to find GCD of 314, 813, 388, 627 on our page.

3. How to find GCD of 314, 813, 388, 627 on a calculator?

You can find the GCD of 314, 813, 388, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.