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 304, 946, 500, 799 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 946, 500, 799 is 1
GCD(304, 946, 500, 799) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 946, 500, 799 is 1
GCD(304, 946, 500, 799) = 1
Given Input numbers are 304, 946, 500, 799
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
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 304, 946, 500, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 946, 500, 799 is 1.
Therefore, GCD of numbers 304, 946, 500, 799 is 1
Given Input Data is 304, 946, 500, 799
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
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(304, 946) = 143792
GCD(304, 946) = ( 304 x 946 ) / 143792
GCD(304, 946) = 287584 / 143792
GCD(304, 946) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 500) = 500
GCD(2, 500) = ( 2 x 500 ) / 500
GCD(2, 500) = 1000 / 500
GCD(2, 500) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 799) = 1598
GCD(2, 799) = ( 2 x 799 ) / 1598
GCD(2, 799) = 1598 / 1598
GCD(2, 799) = 1
GCD of 304, 946, 500, 799 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 946, 500, 799?
GCD of 304, 946, 500, 799 is 1
2. Where do I get the detailed procedure to find GCD of 304, 946, 500, 799?
You can find a detailed procedure to find GCD of 304, 946, 500, 799 on our page.
3. How to find GCD of 304, 946, 500, 799 on a calculator?
You can find the GCD of 304, 946, 500, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.