GCD of 180, 368, 34, 898 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 180, 368, 34, 898 i.e. 2 largest integer that divides all the numbers equally.

GCD of 180, 368, 34, 898 is 2

GCD(180, 368, 34, 898) = 2

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

GCD of

GCD of numbers 180, 368, 34, 898 is 2

GCD(180, 368, 34, 898) = 2

GCD of 180,368,34,898 Calculator

GCDof 180,368,34,898 is 2

Given Input numbers are 180, 368, 34, 898

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 34

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

1, 2, 17, 34

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 180, 368, 34, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 368, 34, 898 is 2.

Therefore, GCD of numbers 180, 368, 34, 898 is 2

Finding GCD of 180, 368, 34, 898 using Prime Factorization

Given Input Data is 180, 368, 34, 898

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 34 is 2 x 17

Prime Factorization of 898 is 2 x 449

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 180, 368, 34, 898 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(180, 368) = 16560

GCD(180, 368) = ( 180 x 368 ) / 16560

GCD(180, 368) = 66240 / 16560

GCD(180, 368) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 34

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

LCM(4, 34) = 68

GCD(4, 34) = ( 4 x 34 ) / 68

GCD(4, 34) = 136 / 68

GCD(4, 34) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 898

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

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

GCD(2, 898) = 1796 / 898

GCD(2, 898) = 2

GCD of 180, 368, 34, 898 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 180, 368, 34, 898

1. What is the GCD of 180, 368, 34, 898?

GCD of 180, 368, 34, 898 is 2


2. Where do I get the detailed procedure to find GCD of 180, 368, 34, 898?

You can find a detailed procedure to find GCD of 180, 368, 34, 898 on our page.


3. How to find GCD of 180, 368, 34, 898 on a calculator?

You can find the GCD of 180, 368, 34, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.