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GCD of 864, 390, 344, 327 Calculator

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


Online GCD Calculator is useful to find the GCD of 864, 390, 344, 327 quickly. Get the easiest ways to solve the greatest common divisor of 864, 390, 344, 327 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 864, 390, 344, 327 with Factoring?

Given Input numbers are 864, 390, 344, 327

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 327 :

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

1, 3, 109, 327


GCD of numbers is the greatest common divisor

So, the GCD (864, 390, 344, 327) = 1.

Find GCD of 864, 390, 344, 327 using Prime Factorization

Given numbers are 864, 390, 344, 327

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 327 are 3 x 109

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

Steps to Calculate GCD of 864, 390, 344, 327 using LCM Formula

Given numbers are 864, 390, 344, 327

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

Apply this formula for all numbers.

Step1:

LCM(864, 390) = 56160

GCD(864, 390) = ( 864 x 390 ) / 56160

= 864 / 390

= 864


Step2:

LCM(6, 344) = 1032

GCD(6, 344) = ( 6 x 344 ) / 1032

= 6 / 344

= 6


Step3:

LCM(2, 327) = 654

GCD(2, 327) = ( 2 x 327 ) / 654

= 2 / 327

= 2


So, Greatest Common Divisor of 864, 390, 344, 327 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 864, 390, 344, 327

Given numbers are 864, 390, 344, 327
The greatest common divisor of numbers 864, 390, 344, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 390, 344, 327 is 1.

FAQs on GCD of 864, 390, 344, 327 Calculator

1. What is the GCD of 864, 390, 344, 327?

GCD of given numbers 864, 390, 344, 327 is 1


2. How to calculate the greatest common divisor of 864, 390, 344, 327?

We can find the highest common divisor of 864, 390, 344, 327 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 864, 390, 344, 327 i.e 1.


3. How can I use the GCD of 864, 390, 344, 327Calculator?

Out the numbers 864, 390, 344, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.