GCD of 886, 360, 23, 198 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 886, 360, 23, 198 i.e. 1 largest integer that divides all the numbers equally.

GCD of 886, 360, 23, 198 is 1

GCD(886, 360, 23, 198) = 1

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

GCD of

GCD of numbers 886, 360, 23, 198 is 1

GCD(886, 360, 23, 198) = 1

GCD of 886,360,23,198 Calculator

GCDof 886,360,23,198 is 1

Given Input numbers are 886, 360, 23, 198

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

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 886, 360, 23, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 886, 360, 23, 198 is 1.

Therefore, GCD of numbers 886, 360, 23, 198 is 1

Finding GCD of 886, 360, 23, 198 using Prime Factorization

Given Input Data is 886, 360, 23, 198

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

Prime Factorization of 886 is 2 x 443

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 23 is 23

Prime Factorization of 198 is 2 x 3 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 886, 360, 23, 198 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(886, 360) = 159480

GCD(886, 360) = ( 886 x 360 ) / 159480

GCD(886, 360) = 318960 / 159480

GCD(886, 360) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 886, 360, 23, 198 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 886, 360, 23, 198

1. What is the GCD of 886, 360, 23, 198?

GCD of 886, 360, 23, 198 is 1


2. Where do I get the detailed procedure to find GCD of 886, 360, 23, 198?

You can find a detailed procedure to find GCD of 886, 360, 23, 198 on our page.


3. How to find GCD of 886, 360, 23, 198 on a calculator?

You can find the GCD of 886, 360, 23, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.