GCD of 686, 118, 518, 681 Calculator

Given Input numbers are 686, 118, 518, 681

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 686, 118, 518, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 118, 518, 681 is 1.

Therefore, GCD of numbers 686, 118, 518, 681 is 1

Given Input Data is 686, 118, 518, 681

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 118 is 2 x 59

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 681 is 3 x 227

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, 118) = 40474

GCD(686, 118) = ( 686 x 118 ) / 40474

GCD(686, 118) = 80948 / 40474

GCD(686, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 518

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

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

GCD(2, 518) = 1036 / 518

GCD(2, 518) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 681

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

LCM(2, 681) = 1362

GCD(2, 681) = ( 2 x 681 ) / 1362

GCD(2, 681) = 1362 / 1362

GCD(2, 681) = 1

GCD of 686, 118, 518, 681 is 1

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1. What is the GCD of 686, 118, 518, 681?

GCD of 686, 118, 518, 681 is 1

2. Where do I get the detailed procedure to find GCD of 686, 118, 518, 681?

You can find a detailed procedure to find GCD of 686, 118, 518, 681 on our page.

3. How to find GCD of 686, 118, 518, 681 on a calculator?

You can find the GCD of 686, 118, 518, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.