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GCD of 990, 723, 394 Calculator

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


Online GCD Calculator is useful to find the GCD of 990, 723, 394 quickly. Get the easiest ways to solve the greatest common divisor of 990, 723, 394 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 723, 394 with Factoring?

Given Input numbers are 990, 723, 394

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394


GCD of numbers is the greatest common divisor

So, the GCD (990, 723, 394) = 1.

Find GCD of 990, 723, 394 using Prime Factorization

Given numbers are 990, 723, 394

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 723 are 3 x 241

Prime factors of 394 are 2 x 197

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

Steps to Calculate GCD of 990, 723, 394 using LCM Formula

Given numbers are 990, 723, 394

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

Apply this formula for all numbers.

Step1:

LCM(990, 723) = 238590

GCD(990, 723) = ( 990 x 723 ) / 238590

= 990 / 723

= 990


Step2:

LCM(3, 394) = 1182

GCD(3, 394) = ( 3 x 394 ) / 1182

= 3 / 394

= 3


So, Greatest Common Divisor of 990, 723, 394 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 723, 394

Given numbers are 990, 723, 394
The greatest common divisor of numbers 990, 723, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 723, 394 is 1.

FAQs on GCD of 990, 723, 394 Calculator

1. What is the GCD of 990, 723, 394?

GCD of given numbers 990, 723, 394 is 1


2. How to calculate the greatest common divisor of 990, 723, 394?

We can find the highest common divisor of 990, 723, 394 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 990, 723, 394 i.e 1.


3. How can I use the GCD of 990, 723, 394Calculator?

Out the numbers 990, 723, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.