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 384, 954, 903, 579 i.e. 3 largest integer that divides all the numbers equally.
GCD of 384, 954, 903, 579 is 3
GCD(384, 954, 903, 579) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 954, 903, 579 is 3
GCD(384, 954, 903, 579) = 3
Given Input numbers are 384, 954, 903, 579
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 579
List of positive integer divisors of 579 that divides 579 without a remainder.
1, 3, 193, 579
Greatest Common Divisior
We found the divisors of 384, 954, 903, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 954, 903, 579 is 3.
Therefore, GCD of numbers 384, 954, 903, 579 is 3
Given Input Data is 384, 954, 903, 579
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 579 is 3 x 193
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(384, 954) = 61056
GCD(384, 954) = ( 384 x 954 ) / 61056
GCD(384, 954) = 366336 / 61056
GCD(384, 954) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 903
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 903) = 1806
GCD(6, 903) = ( 6 x 903 ) / 1806
GCD(6, 903) = 5418 / 1806
GCD(6, 903) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 579
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 579) = 579
GCD(3, 579) = ( 3 x 579 ) / 579
GCD(3, 579) = 1737 / 579
GCD(3, 579) = 3
GCD of 384, 954, 903, 579 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 954, 903, 579?
GCD of 384, 954, 903, 579 is 3
2. Where do I get the detailed procedure to find GCD of 384, 954, 903, 579?
You can find a detailed procedure to find GCD of 384, 954, 903, 579 on our page.
3. How to find GCD of 384, 954, 903, 579 on a calculator?
You can find the GCD of 384, 954, 903, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.