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 105, 961, 308, 888 i.e. 1 largest integer that divides all the numbers equally.
GCD of 105, 961, 308, 888 is 1
GCD(105, 961, 308, 888) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 105, 961, 308, 888 is 1
GCD(105, 961, 308, 888) = 1
Given Input numbers are 105, 961, 308, 888
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
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 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 105, 961, 308, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 961, 308, 888 is 1.
Therefore, GCD of numbers 105, 961, 308, 888 is 1
Given Input Data is 105, 961, 308, 888
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 961 is 31 x 31
Prime Factorization of 308 is 2 x 2 x 7 x 11
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(105, 961) = 100905
GCD(105, 961) = ( 105 x 961 ) / 100905
GCD(105, 961) = 100905 / 100905
GCD(105, 961) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
GCD(1, 308) = 308 / 308
GCD(1, 308) = 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 105, 961, 308, 888 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 105, 961, 308, 888?
GCD of 105, 961, 308, 888 is 1
2. Where do I get the detailed procedure to find GCD of 105, 961, 308, 888?
You can find a detailed procedure to find GCD of 105, 961, 308, 888 on our page.
3. How to find GCD of 105, 961, 308, 888 on a calculator?
You can find the GCD of 105, 961, 308, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.