GCD of 301, 686, 317, 168 Calculator

Given Input numbers are 301, 686, 317, 168

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

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 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

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

Greatest Common Divisior

We found the divisors of 301, 686, 317, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 686, 317, 168 is 1.

Therefore, GCD of numbers 301, 686, 317, 168 is 1

Given Input Data is 301, 686, 317, 168

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

Prime Factorization of 301 is 7 x 43

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

Prime Factorization of 317 is 317

Prime Factorization of 168 is 2 x 2 x 2 x 3 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(301, 686) = 29498

GCD(301, 686) = ( 301 x 686 ) / 29498

GCD(301, 686) = 206486 / 29498

GCD(301, 686) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 317

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

LCM(7, 317) = 2219

GCD(7, 317) = ( 7 x 317 ) / 2219

GCD(7, 317) = 2219 / 2219

GCD(7, 317) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

GCD of 301, 686, 317, 168 is 1

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1. What is the GCD of 301, 686, 317, 168?

GCD of 301, 686, 317, 168 is 1

2. Where do I get the detailed procedure to find GCD of 301, 686, 317, 168?

You can find a detailed procedure to find GCD of 301, 686, 317, 168 on our page.

3. How to find GCD of 301, 686, 317, 168 on a calculator?

You can find the GCD of 301, 686, 317, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.