GCD of 66, 34, 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 66, 34, 24 i.e. 2 largest integer that divides all the numbers equally.

GCD of 66, 34, 24 is 2

GCD(66, 34, 24) = 2

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

GCD of

GCD of numbers 66, 34, 24 is 2

GCD(66, 34, 24) = 2

GCD of 66,34,24 Calculator

GCDof 66,34,24 is 2

Given Input numbers are 66, 34, 24

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 66, 34, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 34, 24 is 2.

Therefore, GCD of numbers 66, 34, 24 is 2

Finding GCD of 66, 34, 24 using Prime Factorization

Given Input Data is 66, 34, 24

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 34 is 2 x 17

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

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 66, 34, 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(66, 34) = 1122

GCD(66, 34) = ( 66 x 34 ) / 1122

GCD(66, 34) = 2244 / 1122

GCD(66, 34) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

GCD of 66, 34, 24 is 2

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 66, 34, 24

1. What is the GCD of 66, 34, 24?

GCD of 66, 34, 24 is 2

2. Where do I get the detailed procedure to find GCD of 66, 34, 24?

You can find a detailed procedure to find GCD of 66, 34, 24 on our page.

3. How to find GCD of 66, 34, 24 on a calculator?

You can find the GCD of 66, 34, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.