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 numbers 999, 546, 147 is 3
GCD(999, 546, 147) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.