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GCD of 999, 592, 339, 990 Calculator

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


Online GCD Calculator is useful to find the GCD of 999, 592, 339, 990 quickly. Get the easiest ways to solve the greatest common divisor of 999, 592, 339, 990 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 999, 592, 339, 990 with Factoring?

Given Input numbers are 999, 592, 339, 990

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

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 592 :

The positive integer divisors of 592 that completely divides 592 are.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

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


GCD of numbers is the greatest common divisor

So, the GCD (999, 592, 339, 990) = 1.

Find GCD of 999, 592, 339, 990 using Prime Factorization

Given numbers are 999, 592, 339, 990

The list of prime factors of all numbers are

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 592 are 2 x 2 x 2 x 2 x 37

Prime factors of 339 are 3 x 113

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

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

Steps to Calculate GCD of 999, 592, 339, 990 using LCM Formula

Given numbers are 999, 592, 339, 990

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

Apply this formula for all numbers.

Step1:

LCM(999, 592) = 15984

GCD(999, 592) = ( 999 x 592 ) / 15984

= 999 / 592

= 999


Step2:

LCM(37, 339) = 12543

GCD(37, 339) = ( 37 x 339 ) / 12543

= 37 / 339

= 37


Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1


So, Greatest Common Divisor of 999, 592, 339, 990 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 999, 592, 339, 990

Given numbers are 999, 592, 339, 990
The greatest common divisor of numbers 999, 592, 339, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 592, 339, 990 is 1.

FAQs on GCD of 999, 592, 339, 990 Calculator

1. What is the GCD of 999, 592, 339, 990?

GCD of given numbers 999, 592, 339, 990 is 1


2. How to calculate the greatest common divisor of 999, 592, 339, 990?

We can find the highest common divisor of 999, 592, 339, 990 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 999, 592, 339, 990 i.e 1.


3. How can I use the GCD of 999, 592, 339, 990Calculator?

Out the numbers 999, 592, 339, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.