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GCD of 729, 819, 716, 357 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, 819, 716, 357 quickly. Get the easiest ways to solve the greatest common divisor of 729, 819, 716, 357 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 729, 819, 716, 357 with Factoring?

Given Input numbers are 729, 819, 716, 357

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 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357


GCD of numbers is the greatest common divisor

So, the GCD (729, 819, 716, 357) = 1.

Find GCD of 729, 819, 716, 357 using Prime Factorization

Given numbers are 729, 819, 716, 357

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 819 are 3 x 3 x 7 x 13

Prime factors of 716 are 2 x 2 x 179

Prime factors of 357 are 3 x 7 x 17

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

Steps to Calculate GCD of 729, 819, 716, 357 using LCM Formula

Given numbers are 729, 819, 716, 357

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

Apply this formula for all numbers.

Step1:

LCM(729, 819) = 66339

GCD(729, 819) = ( 729 x 819 ) / 66339

= 729 / 819

= 729


Step2:

LCM(9, 716) = 6444

GCD(9, 716) = ( 9 x 716 ) / 6444

= 9 / 716

= 9


Step3:

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

= 1 / 357

= 1


So, Greatest Common Divisor of 729, 819, 716, 357 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 729, 819, 716, 357

Given numbers are 729, 819, 716, 357
The greatest common divisor of numbers 729, 819, 716, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 819, 716, 357 is 1.

FAQs on GCD of 729, 819, 716, 357 Calculator

1. What is the GCD of 729, 819, 716, 357?

GCD of given numbers 729, 819, 716, 357 is 1


2. How to calculate the greatest common divisor of 729, 819, 716, 357?

We can find the highest common divisor of 729, 819, 716, 357 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, 819, 716, 357 i.e 1.


3. How can I use the GCD of 729, 819, 716, 357Calculator?

Out the numbers 729, 819, 716, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.