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GCD of 459, 393, 489, 817 Calculator

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


Online GCD Calculator is useful to find the GCD of 459, 393, 489, 817 quickly. Get the easiest ways to solve the greatest common divisor of 459, 393, 489, 817 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 459, 393, 489, 817 with Factoring?

Given Input numbers are 459, 393, 489, 817

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

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 817 :

The positive integer divisors of 817 that completely divides 817 are.

1, 19, 43, 817


GCD of numbers is the greatest common divisor

So, the GCD (459, 393, 489, 817) = 1.

Find GCD of 459, 393, 489, 817 using Prime Factorization

Given numbers are 459, 393, 489, 817

The list of prime factors of all numbers are

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 393 are 3 x 131

Prime factors of 489 are 3 x 163

Prime factors of 817 are 19 x 43

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

Steps to Calculate GCD of 459, 393, 489, 817 using LCM Formula

Given numbers are 459, 393, 489, 817

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

Apply this formula for all numbers.

Step1:

LCM(459, 393) = 60129

GCD(459, 393) = ( 459 x 393 ) / 60129

= 459 / 393

= 459


Step2:

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

= 3 / 489

= 3


Step3:

LCM(3, 817) = 2451

GCD(3, 817) = ( 3 x 817 ) / 2451

= 3 / 817

= 3


So, Greatest Common Divisor of 459, 393, 489, 817 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 459, 393, 489, 817

Given numbers are 459, 393, 489, 817
The greatest common divisor of numbers 459, 393, 489, 817 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 393, 489, 817 is 1.

FAQs on GCD of 459, 393, 489, 817 Calculator

1. What is the GCD of 459, 393, 489, 817?

GCD of given numbers 459, 393, 489, 817 is 1


2. How to calculate the greatest common divisor of 459, 393, 489, 817?

We can find the highest common divisor of 459, 393, 489, 817 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 459, 393, 489, 817 i.e 1.


3. How can I use the GCD of 459, 393, 489, 817Calculator?

Out the numbers 459, 393, 489, 817 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.