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GCD of 819, 711, 123, 369 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, 711, 123, 369 quickly. Get the easiest ways to solve the greatest common divisor of 819, 711, 123, 369 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 819, 711, 123, 369 with Factoring?

Given Input numbers are 819, 711, 123, 369

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 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369


GCD of numbers is the greatest common divisor

So, the GCD (819, 711, 123, 369) = 3.

Find GCD of 819, 711, 123, 369 using Prime Factorization

Given numbers are 819, 711, 123, 369

The list of prime factors of all numbers are

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

Prime factors of 711 are 3 x 3 x 79

Prime factors of 123 are 3 x 41

Prime factors of 369 are 3 x 3 x 41

The highest common occurrence is 31

Therefore, GCD of 819, 711, 123, 369 is 3.

Steps to Calculate GCD of 819, 711, 123, 369 using LCM Formula

Given numbers are 819, 711, 123, 369

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

Apply this formula for all numbers.

Step1:

LCM(819, 711) = 64701

GCD(819, 711) = ( 819 x 711 ) / 64701

= 819 / 711

= 819


Step2:

LCM(9, 123) = 369

GCD(9, 123) = ( 9 x 123 ) / 369

= 9 / 123

= 9


Step3:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3


So, Greatest Common Divisor of 819, 711, 123, 369 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 819, 711, 123, 369

Given numbers are 819, 711, 123, 369
The greatest common divisor of numbers 819, 711, 123, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 819, 711, 123, 369 is 3.

FAQs on GCD of 819, 711, 123, 369 Calculator

1. What is the GCD of 819, 711, 123, 369?

GCD of given numbers 819, 711, 123, 369 is 3


2. How to calculate the greatest common divisor of 819, 711, 123, 369?

We can find the highest common divisor of 819, 711, 123, 369 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, 711, 123, 369 i.e 3.


3. How can I use the GCD of 819, 711, 123, 369Calculator?

Out the numbers 819, 711, 123, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.