GCD of 189, 808, 24, 350 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 189, 808, 24, 350 i.e. 1 largest integer that divides all the numbers equally.

GCD of 189, 808, 24, 350 is 1

GCD(189, 808, 24, 350) = 1

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

GCD of

GCD of numbers 189, 808, 24, 350 is 1

GCD(189, 808, 24, 350) = 1

GCD of 189,808,24,350 Calculator

GCDof 189,808,24,350 is 1

Given Input numbers are 189, 808, 24, 350

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 189, 808, 24, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 808, 24, 350 is 1.

Therefore, GCD of numbers 189, 808, 24, 350 is 1

Finding GCD of 189, 808, 24, 350 using Prime Factorization

Given Input Data is 189, 808, 24, 350

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 808 is 2 x 2 x 2 x 101

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

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

Finding GCD of 189, 808, 24, 350 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(189, 808) = 152712

GCD(189, 808) = ( 189 x 808 ) / 152712

GCD(189, 808) = 152712 / 152712

GCD(189, 808) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 189, 808, 24, 350 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 189, 808, 24, 350

1. What is the GCD of 189, 808, 24, 350?

GCD of 189, 808, 24, 350 is 1


2. Where do I get the detailed procedure to find GCD of 189, 808, 24, 350?

You can find a detailed procedure to find GCD of 189, 808, 24, 350 on our page.


3. How to find GCD of 189, 808, 24, 350 on a calculator?

You can find the GCD of 189, 808, 24, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.