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 24, 616, 864, 388 i.e. 4 largest integer that divides all the numbers equally.
GCD of 24, 616, 864, 388 is 4
GCD(24, 616, 864, 388) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 616, 864, 388 is 4
GCD(24, 616, 864, 388) = 4
Given Input numbers are 24, 616, 864, 388
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 24, 616, 864, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 616, 864, 388 is 4.
Therefore, GCD of numbers 24, 616, 864, 388 is 4
Given Input Data is 24, 616, 864, 388
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 388 is 2 x 2 x 97
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(24, 616) = 1848
GCD(24, 616) = ( 24 x 616 ) / 1848
GCD(24, 616) = 14784 / 1848
GCD(24, 616) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 864) = 864
GCD(8, 864) = ( 8 x 864 ) / 864
GCD(8, 864) = 6912 / 864
GCD(8, 864) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 388) = 776
GCD(8, 388) = ( 8 x 388 ) / 776
GCD(8, 388) = 3104 / 776
GCD(8, 388) = 4
GCD of 24, 616, 864, 388 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 24, 616, 864, 388?
GCD of 24, 616, 864, 388 is 4
2. Where do I get the detailed procedure to find GCD of 24, 616, 864, 388?
You can find a detailed procedure to find GCD of 24, 616, 864, 388 on our page.
3. How to find GCD of 24, 616, 864, 388 on a calculator?
You can find the GCD of 24, 616, 864, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.