GCD of 136, 906, 36, 306 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, 906, 36, 306 i.e. 2 largest integer that divides all the numbers equally.

GCD of 136, 906, 36, 306 is 2

GCD(136, 906, 36, 306) = 2

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

GCD of

GCD of numbers 136, 906, 36, 306 is 2

GCD(136, 906, 36, 306) = 2

GCD of 136,906,36,306 Calculator

GCDof 136,906,36,306 is 2

Given Input numbers are 136, 906, 36, 306

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 136, 906, 36, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 906, 36, 306 is 2.

Therefore, GCD of numbers 136, 906, 36, 306 is 2

Finding GCD of 136, 906, 36, 306 using Prime Factorization

Given Input Data is 136, 906, 36, 306

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 906 is 2 x 3 x 151

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 306 is 2 x 3 x 3 x 17

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 136, 906, 36, 306 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, 906) = 61608

GCD(136, 906) = ( 136 x 906 ) / 61608

GCD(136, 906) = 123216 / 61608

GCD(136, 906) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 306

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

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

GCD(2, 306) = 612 / 306

GCD(2, 306) = 2

GCD of 136, 906, 36, 306 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 136, 906, 36, 306

1. What is the GCD of 136, 906, 36, 306?

GCD of 136, 906, 36, 306 is 2


2. Where do I get the detailed procedure to find GCD of 136, 906, 36, 306?

You can find a detailed procedure to find GCD of 136, 906, 36, 306 on our page.


3. How to find GCD of 136, 906, 36, 306 on a calculator?

You can find the GCD of 136, 906, 36, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.