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 927, 105, 854, 928 i.e. 1 largest integer that divides all the numbers equally.
GCD of 927, 105, 854, 928 is 1
GCD(927, 105, 854, 928) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 927, 105, 854, 928 is 1
GCD(927, 105, 854, 928) = 1
Given Input numbers are 927, 105, 854, 928
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
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 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Greatest Common Divisior
We found the divisors of 927, 105, 854, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 105, 854, 928 is 1.
Therefore, GCD of numbers 927, 105, 854, 928 is 1
Given Input Data is 927, 105, 854, 928
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 927 is 3 x 3 x 103
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
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(927, 105) = 32445
GCD(927, 105) = ( 927 x 105 ) / 32445
GCD(927, 105) = 97335 / 32445
GCD(927, 105) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 854) = 2562
GCD(3, 854) = ( 3 x 854 ) / 2562
GCD(3, 854) = 2562 / 2562
GCD(3, 854) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 1
GCD of 927, 105, 854, 928 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 927, 105, 854, 928?
GCD of 927, 105, 854, 928 is 1
2. Where do I get the detailed procedure to find GCD of 927, 105, 854, 928?
You can find a detailed procedure to find GCD of 927, 105, 854, 928 on our page.
3. How to find GCD of 927, 105, 854, 928 on a calculator?
You can find the GCD of 927, 105, 854, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.