GCD of 688, 108, 861 Calculator

Given Input numbers are 688, 108, 861

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 688, 108, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 108, 861 is 1.

Therefore, GCD of numbers 688, 108, 861 is 1

Given Input Data is 688, 108, 861

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 861 is 3 x 7 x 41

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(688, 108) = 18576

GCD(688, 108) = ( 688 x 108 ) / 18576

GCD(688, 108) = 74304 / 18576

GCD(688, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 861

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

LCM(4, 861) = 3444

GCD(4, 861) = ( 4 x 861 ) / 3444

GCD(4, 861) = 3444 / 3444

GCD(4, 861) = 1

GCD of 688, 108, 861 is 1

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1. What is the GCD of 688, 108, 861?

GCD of 688, 108, 861 is 1

2. Where do I get the detailed procedure to find GCD of 688, 108, 861?

You can find a detailed procedure to find GCD of 688, 108, 861 on our page.

3. How to find GCD of 688, 108, 861 on a calculator?

You can find the GCD of 688, 108, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.