GCD of 199, 712, 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 199, 712, 898 i.e. 1 largest integer that divides all the numbers equally.

GCD of 199, 712, 898 is 1

GCD(199, 712, 898) = 1

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

GCD of

GCD of numbers 199, 712, 898 is 1

GCD(199, 712, 898) = 1

GCD of 199,712,898 Calculator

GCDof 199,712,898 is 1

Given Input numbers are 199, 712, 898

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 199, 712, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 712, 898 is 1.

Therefore, GCD of numbers 199, 712, 898 is 1

Finding GCD of 199, 712, 898 using Prime Factorization

Given Input Data is 199, 712, 898

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

Prime Factorization of 199 is 199

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 898 is 2 x 449

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

Finding GCD of 199, 712, 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(199, 712) = 141688

GCD(199, 712) = ( 199 x 712 ) / 141688

GCD(199, 712) = 141688 / 141688

GCD(199, 712) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 199, 712, 898 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 199, 712, 898

1. What is the GCD of 199, 712, 898?

GCD of 199, 712, 898 is 1


2. Where do I get the detailed procedure to find GCD of 199, 712, 898?

You can find a detailed procedure to find GCD of 199, 712, 898 on our page.


3. How to find GCD of 199, 712, 898 on a calculator?

You can find the GCD of 199, 712, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.