GCD of 238, 813, 17, 686 Calculator

Given Input numbers are 238, 813, 17, 686

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 686

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

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

Greatest Common Divisior

We found the divisors of 238, 813, 17, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 813, 17, 686 is 1.

Therefore, GCD of numbers 238, 813, 17, 686 is 1

Given Input Data is 238, 813, 17, 686

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 813 is 3 x 271

Prime Factorization of 17 is 17

Prime Factorization of 686 is 2 x 7 x 7 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(238, 813) = 193494

GCD(238, 813) = ( 238 x 813 ) / 193494

GCD(238, 813) = 193494 / 193494

GCD(238, 813) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 238, 813, 17, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 592, 46, 574
• GCD of 410, 745, 19, 232
• GCD of 996, 569, 46, 170
• GCD of 598, 712, 14, 686
• GCD of 297, 517, 28, 794

1. What is the GCD of 238, 813, 17, 686?

GCD of 238, 813, 17, 686 is 1

2. Where do I get the detailed procedure to find GCD of 238, 813, 17, 686?

You can find a detailed procedure to find GCD of 238, 813, 17, 686 on our page.

3. How to find GCD of 238, 813, 17, 686 on a calculator?

You can find the GCD of 238, 813, 17, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.