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, 461, 238, 888 i.e. 1 largest integer that divides all the numbers equally.
GCD of 111, 461, 238, 888 is 1
GCD(111, 461, 238, 888) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 111, 461, 238, 888 is 1
GCD(111, 461, 238, 888) = 1
Given Input numbers are 111, 461, 238, 888
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 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
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 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Greatest Common Divisior
We found the divisors of 111, 461, 238, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 461, 238, 888 is 1.
Therefore, GCD of numbers 111, 461, 238, 888 is 1
Given Input Data is 111, 461, 238, 888
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 111 is 3 x 37
Prime Factorization of 461 is 461
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 888 is 2 x 2 x 2 x 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(111, 461) = 51171
GCD(111, 461) = ( 111 x 461 ) / 51171
GCD(111, 461) = 51171 / 51171
GCD(111, 461) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 888
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 888) = 888
GCD(1, 888) = ( 1 x 888 ) / 888
GCD(1, 888) = 888 / 888
GCD(1, 888) = 1
GCD of 111, 461, 238, 888 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 111, 461, 238, 888?
GCD of 111, 461, 238, 888 is 1
2. Where do I get the detailed procedure to find GCD of 111, 461, 238, 888?
You can find a detailed procedure to find GCD of 111, 461, 238, 888 on our page.
3. How to find GCD of 111, 461, 238, 888 on a calculator?
You can find the GCD of 111, 461, 238, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.