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 308, 935, 228, 891 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 935, 228, 891 is 1
GCD(308, 935, 228, 891) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 935, 228, 891 is 1
GCD(308, 935, 228, 891) = 1
Given Input numbers are 308, 935, 228, 891
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Greatest Common Divisior
We found the divisors of 308, 935, 228, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 935, 228, 891 is 1.
Therefore, GCD of numbers 308, 935, 228, 891 is 1
Given Input Data is 308, 935, 228, 891
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 935 is 5 x 11 x 17
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 891 is 3 x 3 x 3 x 3 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(308, 935) = 26180
GCD(308, 935) = ( 308 x 935 ) / 26180
GCD(308, 935) = 287980 / 26180
GCD(308, 935) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 228
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 228) = 2508
GCD(11, 228) = ( 11 x 228 ) / 2508
GCD(11, 228) = 2508 / 2508
GCD(11, 228) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
GCD(1, 891) = 891 / 891
GCD(1, 891) = 1
GCD of 308, 935, 228, 891 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 935, 228, 891?
GCD of 308, 935, 228, 891 is 1
2. Where do I get the detailed procedure to find GCD of 308, 935, 228, 891?
You can find a detailed procedure to find GCD of 308, 935, 228, 891 on our page.
3. How to find GCD of 308, 935, 228, 891 on a calculator?
You can find the GCD of 308, 935, 228, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.