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GCD of 327, 645, 423, 729 Calculator

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


Online GCD Calculator is useful to find the GCD of 327, 645, 423, 729 quickly. Get the easiest ways to solve the greatest common divisor of 327, 645, 423, 729 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 327, 645, 423, 729 with Factoring?

Given Input numbers are 327, 645, 423, 729

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

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 729 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (327, 645, 423, 729) = 3.

Find GCD of 327, 645, 423, 729 using Prime Factorization

Given numbers are 327, 645, 423, 729

The list of prime factors of all numbers are

Prime factors of 327 are 3 x 109

Prime factors of 645 are 3 x 5 x 43

Prime factors of 423 are 3 x 3 x 47

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

The highest common occurrence is 31

Therefore, GCD of 327, 645, 423, 729 is 3.

Steps to Calculate GCD of 327, 645, 423, 729 using LCM Formula

Given numbers are 327, 645, 423, 729

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

Apply this formula for all numbers.

Step1:

LCM(327, 645) = 70305

GCD(327, 645) = ( 327 x 645 ) / 70305

= 327 / 645

= 327


Step2:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3


Step3:

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

= 3 / 729

= 3


So, Greatest Common Divisor of 327, 645, 423, 729 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 327, 645, 423, 729

Given numbers are 327, 645, 423, 729
The greatest common divisor of numbers 327, 645, 423, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 645, 423, 729 is 3.

FAQs on GCD of 327, 645, 423, 729 Calculator

1. What is the GCD of 327, 645, 423, 729?

GCD of given numbers 327, 645, 423, 729 is 3


2. How to calculate the greatest common divisor of 327, 645, 423, 729?

We can find the highest common divisor of 327, 645, 423, 729 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 327, 645, 423, 729 i.e 3.


3. How can I use the GCD of 327, 645, 423, 729Calculator?

Out the numbers 327, 645, 423, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.