GCD of 168, 222, 744, 832 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 168, 222, 744, 832 i.e. 2 largest integer that divides all the numbers equally.

GCD of 168, 222, 744, 832 is 2

GCD(168, 222, 744, 832) = 2

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

GCD of

GCD of numbers 168, 222, 744, 832 is 2

GCD(168, 222, 744, 832) = 2

GCD of 168,222,744,832 Calculator

GCDof 168,222,744,832 is 2

Given Input numbers are 168, 222, 744, 832

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 168, 222, 744, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 222, 744, 832 is 2.

Therefore, GCD of numbers 168, 222, 744, 832 is 2

Finding GCD of 168, 222, 744, 832 using Prime Factorization

Given Input Data is 168, 222, 744, 832

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 168, 222, 744, 832 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(168, 222) = 6216

GCD(168, 222) = ( 168 x 222 ) / 6216

GCD(168, 222) = 37296 / 6216

GCD(168, 222) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 744

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

LCM(6, 744) = 744

GCD(6, 744) = ( 6 x 744 ) / 744

GCD(6, 744) = 4464 / 744

GCD(6, 744) = 6


Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 832

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

LCM(6, 832) = 2496

GCD(6, 832) = ( 6 x 832 ) / 2496

GCD(6, 832) = 4992 / 2496

GCD(6, 832) = 2

GCD of 168, 222, 744, 832 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 168, 222, 744, 832

1. What is the GCD of 168, 222, 744, 832?

GCD of 168, 222, 744, 832 is 2


2. Where do I get the detailed procedure to find GCD of 168, 222, 744, 832?

You can find a detailed procedure to find GCD of 168, 222, 744, 832 on our page.


3. How to find GCD of 168, 222, 744, 832 on a calculator?

You can find the GCD of 168, 222, 744, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.