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GCD of 327, 108, 596, 313 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, 108, 596, 313 quickly. Get the easiest ways to solve the greatest common divisor of 327, 108, 596, 313 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 327, 108, 596, 313 with Factoring?

Given Input numbers are 327, 108, 596, 313

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313


GCD of numbers is the greatest common divisor

So, the GCD (327, 108, 596, 313) = 1.

Find GCD of 327, 108, 596, 313 using Prime Factorization

Given numbers are 327, 108, 596, 313

The list of prime factors of all numbers are

Prime factors of 327 are 3 x 109

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 596 are 2 x 2 x 149

Prime factors of 313 are 313

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

Steps to Calculate GCD of 327, 108, 596, 313 using LCM Formula

Given numbers are 327, 108, 596, 313

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

Apply this formula for all numbers.

Step1:

LCM(327, 108) = 11772

GCD(327, 108) = ( 327 x 108 ) / 11772

= 327 / 108

= 327


Step2:

LCM(3, 596) = 1788

GCD(3, 596) = ( 3 x 596 ) / 1788

= 3 / 596

= 3


Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1


So, Greatest Common Divisor of 327, 108, 596, 313 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 327, 108, 596, 313

Given numbers are 327, 108, 596, 313
The greatest common divisor of numbers 327, 108, 596, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 108, 596, 313 is 1.

FAQs on GCD of 327, 108, 596, 313 Calculator

1. What is the GCD of 327, 108, 596, 313?

GCD of given numbers 327, 108, 596, 313 is 1


2. How to calculate the greatest common divisor of 327, 108, 596, 313?

We can find the highest common divisor of 327, 108, 596, 313 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, 108, 596, 313 i.e 1.


3. How can I use the GCD of 327, 108, 596, 313Calculator?

Out the numbers 327, 108, 596, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.