GCD of 678, 729, 877 Calculator

Given Input numbers are 678, 729, 877

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Greatest Common Divisior

We found the divisors of 678, 729, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 729, 877 is 1.

Therefore, GCD of numbers 678, 729, 877 is 1

Given Input Data is 678, 729, 877

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 877 is 877

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(678, 729) = 164754

GCD(678, 729) = ( 678 x 729 ) / 164754

GCD(678, 729) = 494262 / 164754

GCD(678, 729) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 877

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

LCM(3, 877) = 2631

GCD(3, 877) = ( 3 x 877 ) / 2631

GCD(3, 877) = 2631 / 2631

GCD(3, 877) = 1

GCD of 678, 729, 877 is 1

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1. What is the GCD of 678, 729, 877?

GCD of 678, 729, 877 is 1

2. Where do I get the detailed procedure to find GCD of 678, 729, 877?

You can find a detailed procedure to find GCD of 678, 729, 877 on our page.

3. How to find GCD of 678, 729, 877 on a calculator?

You can find the GCD of 678, 729, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.