GCD of 689, 363, 876 Calculator

Given Input numbers are 689, 363, 876

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 689, 363, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 363, 876 is 1.

Therefore, GCD of numbers 689, 363, 876 is 1

Given Input Data is 689, 363, 876

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 876 is 2 x 2 x 3 x 73

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(689, 363) = 250107

GCD(689, 363) = ( 689 x 363 ) / 250107

GCD(689, 363) = 250107 / 250107

GCD(689, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 876

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

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

GCD(1, 876) = 876 / 876

GCD(1, 876) = 1

GCD of 689, 363, 876 is 1

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1. What is the GCD of 689, 363, 876?

GCD of 689, 363, 876 is 1

2. Where do I get the detailed procedure to find GCD of 689, 363, 876?

You can find a detailed procedure to find GCD of 689, 363, 876 on our page.

3. How to find GCD of 689, 363, 876 on a calculator?

You can find the GCD of 689, 363, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.