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 numbers 136, 906, 36, 306 is 2
GCD(136, 906, 36, 306) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.