GCD of 24, 616, 864, 388 Calculator

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

GCD of numbers 24, 616, 864, 388 is 4

GCD(24, 616, 864, 388) = 4

GCD of 24,616,864,388 Calculator

GCDof 24,616,864,388 is 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

Finding GCD of 24, 616, 864, 388 using Prime Factorization

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

Finding GCD of 24, 616, 864, 388 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 24, 616, 864, 388

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.