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, 238, 33, 249 i.e. 1 largest integer that divides all the numbers equally.
GCD of 136, 238, 33, 249 is 1
GCD(136, 238, 33, 249) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 136, 238, 33, 249 is 1
GCD(136, 238, 33, 249) = 1
Given Input numbers are 136, 238, 33, 249
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 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Greatest Common Divisior
We found the divisors of 136, 238, 33, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 238, 33, 249 is 1.
Therefore, GCD of numbers 136, 238, 33, 249 is 1
Given Input Data is 136, 238, 33, 249
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 238 is 2 x 7 x 17
Prime Factorization of 33 is 3 x 11
Prime Factorization of 249 is 3 x 83
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, 238) = 952
GCD(136, 238) = ( 136 x 238 ) / 952
GCD(136, 238) = 32368 / 952
GCD(136, 238) = 34
Step2:
Here we consider the GCD from the above i.e. 34 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(34, 33) = 1122
GCD(34, 33) = ( 34 x 33 ) / 1122
GCD(34, 33) = 1122 / 1122
GCD(34, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
GCD(1, 249) = 249 / 249
GCD(1, 249) = 1
GCD of 136, 238, 33, 249 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 136, 238, 33, 249?
GCD of 136, 238, 33, 249 is 1
2. Where do I get the detailed procedure to find GCD of 136, 238, 33, 249?
You can find a detailed procedure to find GCD of 136, 238, 33, 249 on our page.
3. How to find GCD of 136, 238, 33, 249 on a calculator?
You can find the GCD of 136, 238, 33, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.