GCD of 834, 896, 12, 166 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 834, 896, 12, 166 i.e. 2 largest integer that divides all the numbers equally.

GCD of 834, 896, 12, 166 is 2

GCD(834, 896, 12, 166) = 2

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

GCD of

GCD of numbers 834, 896, 12, 166 is 2

GCD(834, 896, 12, 166) = 2

GCD of 834,896,12,166 Calculator

GCDof 834,896,12,166 is 2

Given Input numbers are 834, 896, 12, 166

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 834, 896, 12, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 896, 12, 166 is 2.

Therefore, GCD of numbers 834, 896, 12, 166 is 2

Finding GCD of 834, 896, 12, 166 using Prime Factorization

Given Input Data is 834, 896, 12, 166

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 166 is 2 x 83

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 834, 896, 12, 166 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(834, 896) = 373632

GCD(834, 896) = ( 834 x 896 ) / 373632

GCD(834, 896) = 747264 / 373632

GCD(834, 896) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 166

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

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

GCD(2, 166) = 332 / 166

GCD(2, 166) = 2

GCD of 834, 896, 12, 166 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 834, 896, 12, 166

1. What is the GCD of 834, 896, 12, 166?

GCD of 834, 896, 12, 166 is 2


2. Where do I get the detailed procedure to find GCD of 834, 896, 12, 166?

You can find a detailed procedure to find GCD of 834, 896, 12, 166 on our page.


3. How to find GCD of 834, 896, 12, 166 on a calculator?

You can find the GCD of 834, 896, 12, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.