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, 199, 28, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 136, 199, 28, 111 is 1
GCD(136, 199, 28, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 136, 199, 28, 111 is 1
GCD(136, 199, 28, 111) = 1
Given Input numbers are 136, 199, 28, 111
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 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 136, 199, 28, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 199, 28, 111 is 1.
Therefore, GCD of numbers 136, 199, 28, 111 is 1
Given Input Data is 136, 199, 28, 111
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 199 is 199
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 111 is 3 x 37
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, 199) = 27064
GCD(136, 199) = ( 136 x 199 ) / 27064
GCD(136, 199) = 27064 / 27064
GCD(136, 199) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 111) = 111
GCD(1, 111) = ( 1 x 111 ) / 111
GCD(1, 111) = 111 / 111
GCD(1, 111) = 1
GCD of 136, 199, 28, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 136, 199, 28, 111?
GCD of 136, 199, 28, 111 is 1
2. Where do I get the detailed procedure to find GCD of 136, 199, 28, 111?
You can find a detailed procedure to find GCD of 136, 199, 28, 111 on our page.
3. How to find GCD of 136, 199, 28, 111 on a calculator?
You can find the GCD of 136, 199, 28, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.