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GCD of 819, 687, 489, 621 Calculator

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


Online GCD Calculator is useful to find the GCD of 819, 687, 489, 621 quickly. Get the easiest ways to solve the greatest common divisor of 819, 687, 489, 621 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 819, 687, 489, 621 with Factoring?

Given Input numbers are 819, 687, 489, 621

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

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621


GCD of numbers is the greatest common divisor

So, the GCD (819, 687, 489, 621) = 3.

Find GCD of 819, 687, 489, 621 using Prime Factorization

Given numbers are 819, 687, 489, 621

The list of prime factors of all numbers are

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 687 are 3 x 229

Prime factors of 489 are 3 x 163

Prime factors of 621 are 3 x 3 x 3 x 23

The highest common occurrence is 31

Therefore, GCD of 819, 687, 489, 621 is 3.

Steps to Calculate GCD of 819, 687, 489, 621 using LCM Formula

Given numbers are 819, 687, 489, 621

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

Apply this formula for all numbers.

Step1:

LCM(819, 687) = 187551

GCD(819, 687) = ( 819 x 687 ) / 187551

= 819 / 687

= 819


Step2:

LCM(3, 489) = 489

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

= 3 / 489

= 3


Step3:

LCM(3, 621) = 621

GCD(3, 621) = ( 3 x 621 ) / 621

= 3 / 621

= 3


So, Greatest Common Divisor of 819, 687, 489, 621 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 819, 687, 489, 621

Given numbers are 819, 687, 489, 621
The greatest common divisor of numbers 819, 687, 489, 621 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 819, 687, 489, 621 is 3.

FAQs on GCD of 819, 687, 489, 621 Calculator

1. What is the GCD of 819, 687, 489, 621?

GCD of given numbers 819, 687, 489, 621 is 3


2. How to calculate the greatest common divisor of 819, 687, 489, 621?

We can find the highest common divisor of 819, 687, 489, 621 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 819, 687, 489, 621 i.e 3.


3. How can I use the GCD of 819, 687, 489, 621Calculator?

Out the numbers 819, 687, 489, 621 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.