GCD of 658, 686, 23, 363 Calculator

Given Input numbers are 658, 686, 23, 363

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 658, 686, 23, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 686, 23, 363 is 1.

Therefore, GCD of numbers 658, 686, 23, 363 is 1

Given Input Data is 658, 686, 23, 363

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

Prime Factorization of 658 is 2 x 7 x 47

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

Prime Factorization of 23 is 23

Prime Factorization of 363 is 3 x 11 x 11

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(658, 686) = 32242

GCD(658, 686) = ( 658 x 686 ) / 32242

GCD(658, 686) = 451388 / 32242

GCD(658, 686) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 23

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

LCM(14, 23) = 322

GCD(14, 23) = ( 14 x 23 ) / 322

GCD(14, 23) = 322 / 322

GCD(14, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 658, 686, 23, 363 is 1

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1. What is the GCD of 658, 686, 23, 363?

GCD of 658, 686, 23, 363 is 1

2. Where do I get the detailed procedure to find GCD of 658, 686, 23, 363?

You can find a detailed procedure to find GCD of 658, 686, 23, 363 on our page.

3. How to find GCD of 658, 686, 23, 363 on a calculator?

You can find the GCD of 658, 686, 23, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.