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 924, 123, 27, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 924, 123, 27, 728 is 1
GCD(924, 123, 27, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 123, 27, 728 is 1
GCD(924, 123, 27, 728) = 1
Given Input numbers are 924, 123, 27, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Greatest Common Divisior
We found the divisors of 924, 123, 27, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 123, 27, 728 is 1.
Therefore, GCD of numbers 924, 123, 27, 728 is 1
Given Input Data is 924, 123, 27, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 123 is 3 x 41
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
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(924, 123) = 37884
GCD(924, 123) = ( 924 x 123 ) / 37884
GCD(924, 123) = 113652 / 37884
GCD(924, 123) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 27) = 27
GCD(3, 27) = ( 3 x 27 ) / 27
GCD(3, 27) = 81 / 27
GCD(3, 27) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 728) = 2184
GCD(3, 728) = ( 3 x 728 ) / 2184
GCD(3, 728) = 2184 / 2184
GCD(3, 728) = 1
GCD of 924, 123, 27, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 123, 27, 728?
GCD of 924, 123, 27, 728 is 1
2. Where do I get the detailed procedure to find GCD of 924, 123, 27, 728?
You can find a detailed procedure to find GCD of 924, 123, 27, 728 on our page.
3. How to find GCD of 924, 123, 27, 728 on a calculator?
You can find the GCD of 924, 123, 27, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.