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GCD of 999, 479, 144 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, 479, 144 quickly. Get the easiest ways to solve the greatest common divisor of 999, 479, 144 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 999, 479, 144 with Factoring?

Given Input numbers are 999, 479, 144

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 479 :

The positive integer divisors of 479 that completely divides 479 are.

1, 479

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144


GCD of numbers is the greatest common divisor

So, the GCD (999, 479, 144) = 1.

Find GCD of 999, 479, 144 using Prime Factorization

Given numbers are 999, 479, 144

The list of prime factors of all numbers are

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

Prime factors of 479 are 479

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Steps to Calculate GCD of 999, 479, 144 using LCM Formula

Given numbers are 999, 479, 144

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

Apply this formula for all numbers.

Step1:

LCM(999, 479) = 478521

GCD(999, 479) = ( 999 x 479 ) / 478521

= 999 / 479

= 999


Step2:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1


So, Greatest Common Divisor of 999, 479, 144 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 999, 479, 144

Given numbers are 999, 479, 144
The greatest common divisor of numbers 999, 479, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 479, 144 is 1.

FAQs on GCD of 999, 479, 144 Calculator

1. What is the GCD of 999, 479, 144?

GCD of given numbers 999, 479, 144 is 1


2. How to calculate the greatest common divisor of 999, 479, 144?

We can find the highest common divisor of 999, 479, 144 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, 479, 144 i.e 1.


3. How can I use the GCD of 999, 479, 144Calculator?

Out the numbers 999, 479, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.