GCD of 394, 231, 852, 514 Calculator

Given Input numbers are 394, 231, 852, 514

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 394, 231, 852, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 231, 852, 514 is 1.

Therefore, GCD of numbers 394, 231, 852, 514 is 1

Given Input Data is 394, 231, 852, 514

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 514 is 2 x 257

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(394, 231) = 91014

GCD(394, 231) = ( 394 x 231 ) / 91014

GCD(394, 231) = 91014 / 91014

GCD(394, 231) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 394, 231, 852, 514 is 1

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1. What is the GCD of 394, 231, 852, 514?

GCD of 394, 231, 852, 514 is 1

2. Where do I get the detailed procedure to find GCD of 394, 231, 852, 514?

You can find a detailed procedure to find GCD of 394, 231, 852, 514 on our page.

3. How to find GCD of 394, 231, 852, 514 on a calculator?

You can find the GCD of 394, 231, 852, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.