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GCD of 513, 804, 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 513, 804, 327 quickly. Get the easiest ways to solve the greatest common divisor of 513, 804, 327 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 513, 804, 327 with Factoring?

Given Input numbers are 513, 804, 327

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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 (513, 804, 327) = 3.

Find GCD of 513, 804, 327 using Prime Factorization

Given numbers are 513, 804, 327

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 327 are 3 x 109

The highest common occurrence is 31

Therefore, GCD of 513, 804, 327 is 3.

Steps to Calculate GCD of 513, 804, 327 using LCM Formula

Given numbers are 513, 804, 327

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

Apply this formula for all numbers.

Step1:

LCM(513, 804) = 137484

GCD(513, 804) = ( 513 x 804 ) / 137484

= 513 / 804

= 513


Step2:

LCM(3, 327) = 327

GCD(3, 327) = ( 3 x 327 ) / 327

= 3 / 327

= 3


So, Greatest Common Divisor of 513, 804, 327 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 513, 804, 327

Given numbers are 513, 804, 327
The greatest common divisor of numbers 513, 804, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 804, 327 is 3.

FAQs on GCD of 513, 804, 327 Calculator

1. What is the GCD of 513, 804, 327?

GCD of given numbers 513, 804, 327 is 3


2. How to calculate the greatest common divisor of 513, 804, 327?

We can find the highest common divisor of 513, 804, 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 513, 804, 327 i.e 3.


3. How can I use the GCD of 513, 804, 327Calculator?

Out the numbers 513, 804, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.