GCD of 209, 734, 23 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 209, 734, 23 i.e. 1 largest integer that divides all the numbers equally.

GCD of 209, 734, 23 is 1

GCD(209, 734, 23) = 1

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

GCD of

GCD of numbers 209, 734, 23 is 1

GCD(209, 734, 23) = 1

GCD of 209,734,23 Calculator

GCDof 209,734,23 is 1

Given Input numbers are 209, 734, 23

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 734

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

1, 2, 367, 734

Divisors of 23

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

1, 23

Greatest Common Divisior

We found the divisors of 209, 734, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 734, 23 is 1.

Therefore, GCD of numbers 209, 734, 23 is 1

Finding GCD of 209, 734, 23 using Prime Factorization

Given Input Data is 209, 734, 23

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 734 is 2 x 367

Prime Factorization of 23 is 23

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

Finding GCD of 209, 734, 23 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(209, 734) = 153406

GCD(209, 734) = ( 209 x 734 ) / 153406

GCD(209, 734) = 153406 / 153406

GCD(209, 734) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

GCD of 209, 734, 23 is 1

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FAQs on GCD of numbers 209, 734, 23

1. What is the GCD of 209, 734, 23?

GCD of 209, 734, 23 is 1

2. Where do I get the detailed procedure to find GCD of 209, 734, 23?

You can find a detailed procedure to find GCD of 209, 734, 23 on our page.

3. How to find GCD of 209, 734, 23 on a calculator?

You can find the GCD of 209, 734, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.