GCD of 14, 508, 507, 686 Calculator

Given Input numbers are 14, 508, 507, 686

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

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 14, 508, 507, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 508, 507, 686 is 1.

Therefore, GCD of numbers 14, 508, 507, 686 is 1

Given Input Data is 14, 508, 507, 686

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 507 is 3 x 13 x 13

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(14, 508) = 3556

GCD(14, 508) = ( 14 x 508 ) / 3556

GCD(14, 508) = 7112 / 3556

GCD(14, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 507

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

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

GCD(2, 507) = 1014 / 1014

GCD(2, 507) = 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 14, 508, 507, 686 is 1

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1. What is the GCD of 14, 508, 507, 686?

GCD of 14, 508, 507, 686 is 1

2. Where do I get the detailed procedure to find GCD of 14, 508, 507, 686?

You can find a detailed procedure to find GCD of 14, 508, 507, 686 on our page.

3. How to find GCD of 14, 508, 507, 686 on a calculator?

You can find the GCD of 14, 508, 507, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.