GCD of 699, 686, 23, 173 Calculator

Given Input numbers are 699, 686, 23, 173

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

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 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 699, 686, 23, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 686, 23, 173 is 1.

Therefore, GCD of numbers 699, 686, 23, 173 is 1

Given Input Data is 699, 686, 23, 173

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

Prime Factorization of 699 is 3 x 233

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

Prime Factorization of 23 is 23

Prime Factorization of 173 is 173

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(699, 686) = 479514

GCD(699, 686) = ( 699 x 686 ) / 479514

GCD(699, 686) = 479514 / 479514

GCD(699, 686) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 699, 686, 23, 173 is 1

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1. What is the GCD of 699, 686, 23, 173?

GCD of 699, 686, 23, 173 is 1

2. Where do I get the detailed procedure to find GCD of 699, 686, 23, 173?

You can find a detailed procedure to find GCD of 699, 686, 23, 173 on our page.

3. How to find GCD of 699, 686, 23, 173 on a calculator?

You can find the GCD of 699, 686, 23, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.