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 111, 856, 358, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 111, 856, 358, 188 is 1
GCD(111, 856, 358, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 111, 856, 358, 188 is 1
GCD(111, 856, 358, 188) = 1
Given Input numbers are 111, 856, 358, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 111, 856, 358, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 856, 358, 188 is 1.
Therefore, GCD of numbers 111, 856, 358, 188 is 1
Given Input Data is 111, 856, 358, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 111 is 3 x 37
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 358 is 2 x 179
Prime Factorization of 188 is 2 x 2 x 47
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(111, 856) = 95016
GCD(111, 856) = ( 111 x 856 ) / 95016
GCD(111, 856) = 95016 / 95016
GCD(111, 856) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 111, 856, 358, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 111, 856, 358, 188?
GCD of 111, 856, 358, 188 is 1
2. Where do I get the detailed procedure to find GCD of 111, 856, 358, 188?
You can find a detailed procedure to find GCD of 111, 856, 358, 188 on our page.
3. How to find GCD of 111, 856, 358, 188 on a calculator?
You can find the GCD of 111, 856, 358, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.