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GCD of 729, 129, 874, 829 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 729, 129, 874, 829 quickly. Get the easiest ways to solve the greatest common divisor of 729, 129, 874, 829 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 729, 129, 874, 829 with Factoring?

Given Input numbers are 729, 129, 874, 829

In the factoring method, we have to find the divisors of all numbers

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

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

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829


GCD of numbers is the greatest common divisor

So, the GCD (729, 129, 874, 829) = 1.

Find GCD of 729, 129, 874, 829 using Prime Factorization

Given numbers are 729, 129, 874, 829

The list of prime factors of all numbers are

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 129 are 3 x 43

Prime factors of 874 are 2 x 19 x 23

Prime factors of 829 are 829

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 729, 129, 874, 829 using LCM Formula

Given numbers are 729, 129, 874, 829

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(729, 129) = 31347

GCD(729, 129) = ( 729 x 129 ) / 31347

= 729 / 129

= 729


Step2:

LCM(3, 874) = 2622

GCD(3, 874) = ( 3 x 874 ) / 2622

= 3 / 874

= 3


Step3:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1


So, Greatest Common Divisor of 729, 129, 874, 829 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 729, 129, 874, 829

Given numbers are 729, 129, 874, 829
The greatest common divisor of numbers 729, 129, 874, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 129, 874, 829 is 1.

FAQs on GCD of 729, 129, 874, 829 Calculator

1. What is the GCD of 729, 129, 874, 829?

GCD of given numbers 729, 129, 874, 829 is 1


2. How to calculate the greatest common divisor of 729, 129, 874, 829?

We can find the highest common divisor of 729, 129, 874, 829 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 729, 129, 874, 829 i.e 1.


3. How can I use the GCD of 729, 129, 874, 829Calculator?

Out the numbers 729, 129, 874, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.