GCD of 57, 99, 24 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 57, 99, 24 i.e. 3 largest integer that divides all the numbers equally.

GCD of 57, 99, 24 is 3

GCD(57, 99, 24) = 3

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 57, 99, 24 is 3

GCD(57, 99, 24) = 3

GCD of 57,99,24 Calculator

GCDof 57,99,24 is 3

Given Input numbers are 57, 99, 24

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Greatest Common Divisior

We found the divisors of 57, 99, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 99, 24 is 3.

Therefore, GCD of numbers 57, 99, 24 is 3

Finding GCD of 57, 99, 24 using Prime Factorization

Given Input Data is 57, 99, 24

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 57 is 3 x 19

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 24 is 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 57, 99, 24 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(57, 99) = 1881

GCD(57, 99) = ( 57 x 99 ) / 1881

GCD(57, 99) = 5643 / 1881

GCD(57, 99) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

GCD of 57, 99, 24 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 57, 99, 24

1. What is the GCD of 57, 99, 24?

GCD of 57, 99, 24 is 3

2. Where do I get the detailed procedure to find GCD of 57, 99, 24?

You can find a detailed procedure to find GCD of 57, 99, 24 on our page.

3. How to find GCD of 57, 99, 24 on a calculator?

You can find the GCD of 57, 99, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.