GCD of 741, 182, 209 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 741, 182, 209 i.e. 1 largest integer that divides all the numbers equally.

GCD of 741, 182, 209 is 1

GCD(741, 182, 209) = 1

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

GCD of

GCD of numbers 741, 182, 209 is 1

GCD(741, 182, 209) = 1

GCD of 741,182,209 Calculator

GCDof 741,182,209 is 1

Given Input numbers are 741, 182, 209

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 209

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

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 741, 182, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 182, 209 is 1.

Therefore, GCD of numbers 741, 182, 209 is 1

Finding GCD of 741, 182, 209 using Prime Factorization

Given Input Data is 741, 182, 209

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 209 is 11 x 19

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

Finding GCD of 741, 182, 209 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(741, 182) = 10374

GCD(741, 182) = ( 741 x 182 ) / 10374

GCD(741, 182) = 134862 / 10374

GCD(741, 182) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 209

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

LCM(13, 209) = 2717

GCD(13, 209) = ( 13 x 209 ) / 2717

GCD(13, 209) = 2717 / 2717

GCD(13, 209) = 1

GCD of 741, 182, 209 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 741, 182, 209

1. What is the GCD of 741, 182, 209?

GCD of 741, 182, 209 is 1

2. Where do I get the detailed procedure to find GCD of 741, 182, 209?

You can find a detailed procedure to find GCD of 741, 182, 209 on our page.

3. How to find GCD of 741, 182, 209 on a calculator?

You can find the GCD of 741, 182, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.