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, 441, 228, 310 i.e. 1 largest integer that divides all the numbers equally.
GCD of 136, 441, 228, 310 is 1
GCD(136, 441, 228, 310) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 136, 441, 228, 310 is 1
GCD(136, 441, 228, 310) = 1
Given Input numbers are 136, 441, 228, 310
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 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Greatest Common Divisior
We found the divisors of 136, 441, 228, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 441, 228, 310 is 1.
Therefore, GCD of numbers 136, 441, 228, 310 is 1
Given Input Data is 136, 441, 228, 310
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 441 is 3 x 3 x 7 x 7
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 310 is 2 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
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, 441) = 59976
GCD(136, 441) = ( 136 x 441 ) / 59976
GCD(136, 441) = 59976 / 59976
GCD(136, 441) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 228
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 228) = 228
GCD(1, 228) = ( 1 x 228 ) / 228
GCD(1, 228) = 228 / 228
GCD(1, 228) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
GCD of 136, 441, 228, 310 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 136, 441, 228, 310?
GCD of 136, 441, 228, 310 is 1
2. Where do I get the detailed procedure to find GCD of 136, 441, 228, 310?
You can find a detailed procedure to find GCD of 136, 441, 228, 310 on our page.
3. How to find GCD of 136, 441, 228, 310 on a calculator?
You can find the GCD of 136, 441, 228, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.