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, 681, 36, 884 i.e. 1 largest integer that divides all the numbers equally.
GCD of 111, 681, 36, 884 is 1
GCD(111, 681, 36, 884) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 111, 681, 36, 884 is 1
GCD(111, 681, 36, 884) = 1
Given Input numbers are 111, 681, 36, 884
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 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Greatest Common Divisior
We found the divisors of 111, 681, 36, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 681, 36, 884 is 1.
Therefore, GCD of numbers 111, 681, 36, 884 is 1
Given Input Data is 111, 681, 36, 884
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 111 is 3 x 37
Prime Factorization of 681 is 3 x 227
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 884 is 2 x 2 x 13 x 17
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, 681) = 25197
GCD(111, 681) = ( 111 x 681 ) / 25197
GCD(111, 681) = 75591 / 25197
GCD(111, 681) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 36) = 36
GCD(3, 36) = ( 3 x 36 ) / 36
GCD(3, 36) = 108 / 36
GCD(3, 36) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 884) = 2652
GCD(3, 884) = ( 3 x 884 ) / 2652
GCD(3, 884) = 2652 / 2652
GCD(3, 884) = 1
GCD of 111, 681, 36, 884 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 111, 681, 36, 884?
GCD of 111, 681, 36, 884 is 1
2. Where do I get the detailed procedure to find GCD of 111, 681, 36, 884?
You can find a detailed procedure to find GCD of 111, 681, 36, 884 on our page.
3. How to find GCD of 111, 681, 36, 884 on a calculator?
You can find the GCD of 111, 681, 36, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.