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 999, 928, 59, 842 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 928, 59, 842 is 1
GCD(999, 928, 59, 842) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 928, 59, 842 is 1
GCD(999, 928, 59, 842) = 1
Given Input numbers are 999, 928, 59, 842
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
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
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Greatest Common Divisior
We found the divisors of 999, 928, 59, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 928, 59, 842 is 1.
Therefore, GCD of numbers 999, 928, 59, 842 is 1
Given Input Data is 999, 928, 59, 842
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 59 is 59
Prime Factorization of 842 is 2 x 421
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(999, 928) = 927072
GCD(999, 928) = ( 999 x 928 ) / 927072
GCD(999, 928) = 927072 / 927072
GCD(999, 928) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
GCD of 999, 928, 59, 842 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 928, 59, 842?
GCD of 999, 928, 59, 842 is 1
2. Where do I get the detailed procedure to find GCD of 999, 928, 59, 842?
You can find a detailed procedure to find GCD of 999, 928, 59, 842 on our page.
3. How to find GCD of 999, 928, 59, 842 on a calculator?
You can find the GCD of 999, 928, 59, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.