GCD of 686, 614, 228, 319 Calculator

Given Input numbers are 686, 614, 228, 319

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 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 686, 614, 228, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 614, 228, 319 is 1.

Therefore, GCD of numbers 686, 614, 228, 319 is 1

Given Input Data is 686, 614, 228, 319

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 614 is 2 x 307

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 319 is 11 x 29

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, 614) = 210602

GCD(686, 614) = ( 686 x 614 ) / 210602

GCD(686, 614) = 421204 / 210602

GCD(686, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 319

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

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

GCD(2, 319) = 638 / 638

GCD(2, 319) = 1

GCD of 686, 614, 228, 319 is 1

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• GCD of 620, 985, 867, 622
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1. What is the GCD of 686, 614, 228, 319?

GCD of 686, 614, 228, 319 is 1

2. Where do I get the detailed procedure to find GCD of 686, 614, 228, 319?

You can find a detailed procedure to find GCD of 686, 614, 228, 319 on our page.

3. How to find GCD of 686, 614, 228, 319 on a calculator?

You can find the GCD of 686, 614, 228, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.