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GCD of 999, 486, 156, 321 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, 486, 156, 321 quickly. Get the easiest ways to solve the greatest common divisor of 999, 486, 156, 321 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 999, 486, 156, 321 with Factoring?

Given Input numbers are 999, 486, 156, 321

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 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321


GCD of numbers is the greatest common divisor

So, the GCD (999, 486, 156, 321) = 3.

Find GCD of 999, 486, 156, 321 using Prime Factorization

Given numbers are 999, 486, 156, 321

The list of prime factors of all numbers are

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

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 321 are 3 x 107

The highest common occurrence is 31

Therefore, GCD of 999, 486, 156, 321 is 3.

Steps to Calculate GCD of 999, 486, 156, 321 using LCM Formula

Given numbers are 999, 486, 156, 321

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

Apply this formula for all numbers.

Step1:

LCM(999, 486) = 17982

GCD(999, 486) = ( 999 x 486 ) / 17982

= 999 / 486

= 999


Step2:

LCM(27, 156) = 1404

GCD(27, 156) = ( 27 x 156 ) / 1404

= 27 / 156

= 27


Step3:

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

= 3 / 321

= 3


So, Greatest Common Divisor of 999, 486, 156, 321 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 999, 486, 156, 321

Given numbers are 999, 486, 156, 321
The greatest common divisor of numbers 999, 486, 156, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 486, 156, 321 is 3.

FAQs on GCD of 999, 486, 156, 321 Calculator

1. What is the GCD of 999, 486, 156, 321?

GCD of given numbers 999, 486, 156, 321 is 3


2. How to calculate the greatest common divisor of 999, 486, 156, 321?

We can find the highest common divisor of 999, 486, 156, 321 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, 486, 156, 321 i.e 3.


3. How can I use the GCD of 999, 486, 156, 321Calculator?

Out the numbers 999, 486, 156, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.