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 144, 999, 124, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 999, 124, 399 is 1
GCD(144, 999, 124, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 999, 124, 399 is 1
GCD(144, 999, 124, 399) = 1
Given Input numbers are 144, 999, 124, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
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 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 144, 999, 124, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 999, 124, 399 is 1.
Therefore, GCD of numbers 144, 999, 124, 399 is 1
Given Input Data is 144, 999, 124, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 399 is 3 x 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
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(144, 999) = 15984
GCD(144, 999) = ( 144 x 999 ) / 15984
GCD(144, 999) = 143856 / 15984
GCD(144, 999) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 124) = 1116
GCD(9, 124) = ( 9 x 124 ) / 1116
GCD(9, 124) = 1116 / 1116
GCD(9, 124) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 399) = 399
GCD(1, 399) = ( 1 x 399 ) / 399
GCD(1, 399) = 399 / 399
GCD(1, 399) = 1
GCD of 144, 999, 124, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 144, 999, 124, 399?
GCD of 144, 999, 124, 399 is 1
2. Where do I get the detailed procedure to find GCD of 144, 999, 124, 399?
You can find a detailed procedure to find GCD of 144, 999, 124, 399 on our page.
3. How to find GCD of 144, 999, 124, 399 on a calculator?
You can find the GCD of 144, 999, 124, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.