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, 447, 834, 940 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 447, 834, 940 is 1
GCD(999, 447, 834, 940) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 447, 834, 940 is 1
GCD(999, 447, 834, 940) = 1
Given Input numbers are 999, 447, 834, 940
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 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Greatest Common Divisior
We found the divisors of 999, 447, 834, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 447, 834, 940 is 1.
Therefore, GCD of numbers 999, 447, 834, 940 is 1
Given Input Data is 999, 447, 834, 940
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 447 is 3 x 149
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 940 is 2 x 2 x 5 x 47
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, 447) = 148851
GCD(999, 447) = ( 999 x 447 ) / 148851
GCD(999, 447) = 446553 / 148851
GCD(999, 447) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 834) = 834
GCD(3, 834) = ( 3 x 834 ) / 834
GCD(3, 834) = 2502 / 834
GCD(3, 834) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 940) = 2820
GCD(3, 940) = ( 3 x 940 ) / 2820
GCD(3, 940) = 2820 / 2820
GCD(3, 940) = 1
GCD of 999, 447, 834, 940 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 447, 834, 940?
GCD of 999, 447, 834, 940 is 1
2. Where do I get the detailed procedure to find GCD of 999, 447, 834, 940?
You can find a detailed procedure to find GCD of 999, 447, 834, 940 on our page.
3. How to find GCD of 999, 447, 834, 940 on a calculator?
You can find the GCD of 999, 447, 834, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.