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, 904, 302, 186 i.e. 2 largest integer that divides all the numbers equally.
GCD of 136, 904, 302, 186 is 2
GCD(136, 904, 302, 186) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 136, 904, 302, 186 is 2
GCD(136, 904, 302, 186) = 2
Given Input numbers are 136, 904, 302, 186
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 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Greatest Common Divisior
We found the divisors of 136, 904, 302, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 904, 302, 186 is 2.
Therefore, GCD of numbers 136, 904, 302, 186 is 2
Given Input Data is 136, 904, 302, 186
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 904 is 2 x 2 x 2 x 113
Prime Factorization of 302 is 2 x 151
Prime Factorization of 186 is 2 x 3 x 31
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, 904) = 15368
GCD(136, 904) = ( 136 x 904 ) / 15368
GCD(136, 904) = 122944 / 15368
GCD(136, 904) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 302) = 1208
GCD(8, 302) = ( 8 x 302 ) / 1208
GCD(8, 302) = 2416 / 1208
GCD(8, 302) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 186
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 186) = 186
GCD(2, 186) = ( 2 x 186 ) / 186
GCD(2, 186) = 372 / 186
GCD(2, 186) = 2
GCD of 136, 904, 302, 186 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 136, 904, 302, 186?
GCD of 136, 904, 302, 186 is 2
2. Where do I get the detailed procedure to find GCD of 136, 904, 302, 186?
You can find a detailed procedure to find GCD of 136, 904, 302, 186 on our page.
3. How to find GCD of 136, 904, 302, 186 on a calculator?
You can find the GCD of 136, 904, 302, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.