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, 954, 681, 353 i.e. 1 largest integer that divides all the numbers equally.
GCD of 111, 954, 681, 353 is 1
GCD(111, 954, 681, 353) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 111, 954, 681, 353 is 1
GCD(111, 954, 681, 353) = 1
Given Input numbers are 111, 954, 681, 353
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 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Greatest Common Divisior
We found the divisors of 111, 954, 681, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 954, 681, 353 is 1.
Therefore, GCD of numbers 111, 954, 681, 353 is 1
Given Input Data is 111, 954, 681, 353
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 111 is 3 x 37
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 681 is 3 x 227
Prime Factorization of 353 is 353
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, 954) = 35298
GCD(111, 954) = ( 111 x 954 ) / 35298
GCD(111, 954) = 105894 / 35298
GCD(111, 954) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 681) = 681
GCD(3, 681) = ( 3 x 681 ) / 681
GCD(3, 681) = 2043 / 681
GCD(3, 681) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 353) = 1059
GCD(3, 353) = ( 3 x 353 ) / 1059
GCD(3, 353) = 1059 / 1059
GCD(3, 353) = 1
GCD of 111, 954, 681, 353 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 111, 954, 681, 353?
GCD of 111, 954, 681, 353 is 1
2. Where do I get the detailed procedure to find GCD of 111, 954, 681, 353?
You can find a detailed procedure to find GCD of 111, 954, 681, 353 on our page.
3. How to find GCD of 111, 954, 681, 353 on a calculator?
You can find the GCD of 111, 954, 681, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.