GCD of 734, 189, 889 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 734, 189, 889 i.e. 1 largest integer that divides all the numbers equally.

GCD of 734, 189, 889 is 1

GCD(734, 189, 889) = 1

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

GCD of

GCD of numbers 734, 189, 889 is 1

GCD(734, 189, 889) = 1

GCD of 734,189,889 Calculator

GCDof 734,189,889 is 1

Given Input numbers are 734, 189, 889

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

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 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 734, 189, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 189, 889 is 1.

Therefore, GCD of numbers 734, 189, 889 is 1

Finding GCD of 734, 189, 889 using Prime Factorization

Given Input Data is 734, 189, 889

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

Prime Factorization of 734 is 2 x 367

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

Prime Factorization of 889 is 7 x 127

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

Finding GCD of 734, 189, 889 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(734, 189) = 138726

GCD(734, 189) = ( 734 x 189 ) / 138726

GCD(734, 189) = 138726 / 138726

GCD(734, 189) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 734, 189, 889 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 734, 189, 889

1. What is the GCD of 734, 189, 889?

GCD of 734, 189, 889 is 1


2. Where do I get the detailed procedure to find GCD of 734, 189, 889?

You can find a detailed procedure to find GCD of 734, 189, 889 on our page.


3. How to find GCD of 734, 189, 889 on a calculator?

You can find the GCD of 734, 189, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.