GCD of 218, 686, 293 Calculator

Given Input numbers are 218, 686, 293

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

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 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 218, 686, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 686, 293 is 1.

Therefore, GCD of numbers 218, 686, 293 is 1

Given Input Data is 218, 686, 293

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

Prime Factorization of 218 is 2 x 109

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

Prime Factorization of 293 is 293

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(218, 686) = 74774

GCD(218, 686) = ( 218 x 686 ) / 74774

GCD(218, 686) = 149548 / 74774

GCD(218, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 293

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

LCM(2, 293) = 586

GCD(2, 293) = ( 2 x 293 ) / 586

GCD(2, 293) = 586 / 586

GCD(2, 293) = 1

GCD of 218, 686, 293 is 1

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• GCD of 885, 527, 914
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• GCD of 557, 853, 292

1. What is the GCD of 218, 686, 293?

GCD of 218, 686, 293 is 1

2. Where do I get the detailed procedure to find GCD of 218, 686, 293?

You can find a detailed procedure to find GCD of 218, 686, 293 on our page.

3. How to find GCD of 218, 686, 293 on a calculator?

You can find the GCD of 218, 686, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.