GCD of 686, 686, 28, 923 Calculator

Given Input numbers are 686, 686, 28, 923

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

Divisors of 686

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

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

Divisors of 686

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

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 686, 686, 28, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 686, 28, 923 is 1.

Therefore, GCD of numbers 686, 686, 28, 923 is 1

Given Input Data is 686, 686, 28, 923

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

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

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 923 is 13 x 71

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(686, 686) = 686

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

GCD(686, 686) = 470596 / 686

GCD(686, 686) = 686

Step2:

Here we consider the GCD from the above i.e. 686 as first number and the next as 28

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

LCM(686, 28) = 1372

GCD(686, 28) = ( 686 x 28 ) / 1372

GCD(686, 28) = 19208 / 1372

GCD(686, 28) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 923

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

LCM(14, 923) = 12922

GCD(14, 923) = ( 14 x 923 ) / 12922

GCD(14, 923) = 12922 / 12922

GCD(14, 923) = 1

GCD of 686, 686, 28, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 601, 30, 735
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• GCD of 455, 226, 91, 302

1. What is the GCD of 686, 686, 28, 923?

GCD of 686, 686, 28, 923 is 1

2. Where do I get the detailed procedure to find GCD of 686, 686, 28, 923?

You can find a detailed procedure to find GCD of 686, 686, 28, 923 on our page.

3. How to find GCD of 686, 686, 28, 923 on a calculator?

You can find the GCD of 686, 686, 28, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.