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 75, 504, 999, 799 i.e. 1 largest integer that divides all the numbers equally.
GCD of 75, 504, 999, 799 is 1
GCD(75, 504, 999, 799) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 504, 999, 799 is 1
GCD(75, 504, 999, 799) = 1
Given Input numbers are 75, 504, 999, 799
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
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 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Greatest Common Divisior
We found the divisors of 75, 504, 999, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 504, 999, 799 is 1.
Therefore, GCD of numbers 75, 504, 999, 799 is 1
Given Input Data is 75, 504, 999, 799
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 799 is 17 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(75, 504) = 12600
GCD(75, 504) = ( 75 x 504 ) / 12600
GCD(75, 504) = 37800 / 12600
GCD(75, 504) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 999) = 999
GCD(3, 999) = ( 3 x 999 ) / 999
GCD(3, 999) = 2997 / 999
GCD(3, 999) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 799) = 2397
GCD(3, 799) = ( 3 x 799 ) / 2397
GCD(3, 799) = 2397 / 2397
GCD(3, 799) = 1
GCD of 75, 504, 999, 799 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 75, 504, 999, 799?
GCD of 75, 504, 999, 799 is 1
2. Where do I get the detailed procedure to find GCD of 75, 504, 999, 799?
You can find a detailed procedure to find GCD of 75, 504, 999, 799 on our page.
3. How to find GCD of 75, 504, 999, 799 on a calculator?
You can find the GCD of 75, 504, 999, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.