GCD of 136, 368, 727, 217 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 136, 368, 727, 217 i.e. 1 largest integer that divides all the numbers equally.

GCD of 136, 368, 727, 217 is 1

GCD(136, 368, 727, 217) = 1

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

GCD of

GCD of numbers 136, 368, 727, 217 is 1

GCD(136, 368, 727, 217) = 1

GCD of 136,368,727,217 Calculator

GCDof 136,368,727,217 is 1

Given Input numbers are 136, 368, 727, 217

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 136, 368, 727, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 368, 727, 217 is 1.

Therefore, GCD of numbers 136, 368, 727, 217 is 1

Finding GCD of 136, 368, 727, 217 using Prime Factorization

Given Input Data is 136, 368, 727, 217

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 727 is 727

Prime Factorization of 217 is 7 x 31

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

Finding GCD of 136, 368, 727, 217 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(136, 368) = 6256

GCD(136, 368) = ( 136 x 368 ) / 6256

GCD(136, 368) = 50048 / 6256

GCD(136, 368) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 727

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

LCM(8, 727) = 5816

GCD(8, 727) = ( 8 x 727 ) / 5816

GCD(8, 727) = 5816 / 5816

GCD(8, 727) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 136, 368, 727, 217 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 136, 368, 727, 217

1. What is the GCD of 136, 368, 727, 217?

GCD of 136, 368, 727, 217 is 1


2. Where do I get the detailed procedure to find GCD of 136, 368, 727, 217?

You can find a detailed procedure to find GCD of 136, 368, 727, 217 on our page.


3. How to find GCD of 136, 368, 727, 217 on a calculator?

You can find the GCD of 136, 368, 727, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.