GCD of 999, 546, 147 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 999, 546, 147 i.e. 3 largest integer that divides all the numbers equally.

GCD of 999, 546, 147 is 3

GCD(999, 546, 147) = 3

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 999, 546, 147 is 3

GCD(999, 546, 147) = 3

GCD of 999,546,147 Calculator

GCDof 999,546,147 is 3

Given Input numbers are 999, 546, 147

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 999, 546, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 546, 147 is 3.

Therefore, GCD of numbers 999, 546, 147 is 3

Finding GCD of 999, 546, 147 using Prime Factorization

Given Input Data is 999, 546, 147

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 147 is 3 x 7 x 7

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 999, 546, 147 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(999, 546) = 181818

GCD(999, 546) = ( 999 x 546 ) / 181818

GCD(999, 546) = 545454 / 181818

GCD(999, 546) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 147

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

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

GCD(3, 147) = 441 / 147

GCD(3, 147) = 3

GCD of 999, 546, 147 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 999, 546, 147

1. What is the GCD of 999, 546, 147?

GCD of 999, 546, 147 is 3


2. Where do I get the detailed procedure to find GCD of 999, 546, 147?

You can find a detailed procedure to find GCD of 999, 546, 147 on our page.


3. How to find GCD of 999, 546, 147 on a calculator?

You can find the GCD of 999, 546, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.