GCD of 686, 168, 664, 663 Calculator

Given Input numbers are 686, 168, 664, 663

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 686, 168, 664, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 168, 664, 663 is 1.

Therefore, GCD of numbers 686, 168, 664, 663 is 1

Given Input Data is 686, 168, 664, 663

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 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 663 is 3 x 13 x 17

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, 168) = 8232

GCD(686, 168) = ( 686 x 168 ) / 8232

GCD(686, 168) = 115248 / 8232

GCD(686, 168) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 664

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

LCM(14, 664) = 4648

GCD(14, 664) = ( 14 x 664 ) / 4648

GCD(14, 664) = 9296 / 4648

GCD(14, 664) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 663

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

LCM(2, 663) = 1326

GCD(2, 663) = ( 2 x 663 ) / 1326

GCD(2, 663) = 1326 / 1326

GCD(2, 663) = 1

GCD of 686, 168, 664, 663 is 1

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1. What is the GCD of 686, 168, 664, 663?

GCD of 686, 168, 664, 663 is 1

2. Where do I get the detailed procedure to find GCD of 686, 168, 664, 663?

You can find a detailed procedure to find GCD of 686, 168, 664, 663 on our page.

3. How to find GCD of 686, 168, 664, 663 on a calculator?

You can find the GCD of 686, 168, 664, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.