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, 185, 885, 275 i.e. 1 largest integer that divides all the numbers equally.
GCD of 111, 185, 885, 275 is 1
GCD(111, 185, 885, 275) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 111, 185, 885, 275 is 1
GCD(111, 185, 885, 275) = 1
Given Input numbers are 111, 185, 885, 275
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 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Greatest Common Divisior
We found the divisors of 111, 185, 885, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 185, 885, 275 is 1.
Therefore, GCD of numbers 111, 185, 885, 275 is 1
Given Input Data is 111, 185, 885, 275
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 111 is 3 x 37
Prime Factorization of 185 is 5 x 37
Prime Factorization of 885 is 3 x 5 x 59
Prime Factorization of 275 is 5 x 5 x 11
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, 185) = 555
GCD(111, 185) = ( 111 x 185 ) / 555
GCD(111, 185) = 20535 / 555
GCD(111, 185) = 37
Step2:
Here we consider the GCD from the above i.e. 37 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(37, 885) = 32745
GCD(37, 885) = ( 37 x 885 ) / 32745
GCD(37, 885) = 32745 / 32745
GCD(37, 885) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 275) = 275
GCD(1, 275) = ( 1 x 275 ) / 275
GCD(1, 275) = 275 / 275
GCD(1, 275) = 1
GCD of 111, 185, 885, 275 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 111, 185, 885, 275?
GCD of 111, 185, 885, 275 is 1
2. Where do I get the detailed procedure to find GCD of 111, 185, 885, 275?
You can find a detailed procedure to find GCD of 111, 185, 885, 275 on our page.
3. How to find GCD of 111, 185, 885, 275 on a calculator?
You can find the GCD of 111, 185, 885, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.