GCD of 393, 286, 514, 686 Calculator

Given Input numbers are 393, 286, 514, 686

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 514

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

1, 2, 257, 514

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 393, 286, 514, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 286, 514, 686 is 1.

Therefore, GCD of numbers 393, 286, 514, 686 is 1

Given Input Data is 393, 286, 514, 686

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 514 is 2 x 257

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(393, 286) = 112398

GCD(393, 286) = ( 393 x 286 ) / 112398

GCD(393, 286) = 112398 / 112398

GCD(393, 286) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 393, 286, 514, 686 is 1

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1. What is the GCD of 393, 286, 514, 686?

GCD of 393, 286, 514, 686 is 1

2. Where do I get the detailed procedure to find GCD of 393, 286, 514, 686?

You can find a detailed procedure to find GCD of 393, 286, 514, 686 on our page.

3. How to find GCD of 393, 286, 514, 686 on a calculator?

You can find the GCD of 393, 286, 514, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.