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 500, 936, 96, 494 i.e. 2 largest integer that divides all the numbers equally.
GCD of 500, 936, 96, 494 is 2
GCD(500, 936, 96, 494) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 500, 936, 96, 494 is 2
GCD(500, 936, 96, 494) = 2
Given Input numbers are 500, 936, 96, 494
To find the GCD of numbers using factoring list out all the divisors of each number
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 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Greatest Common Divisior
We found the divisors of 500, 936, 96, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 936, 96, 494 is 2.
Therefore, GCD of numbers 500, 936, 96, 494 is 2
Given Input Data is 500, 936, 96, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 494 is 2 x 13 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(500, 936) = 117000
GCD(500, 936) = ( 500 x 936 ) / 117000
GCD(500, 936) = 468000 / 117000
GCD(500, 936) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 96) = 96
GCD(4, 96) = ( 4 x 96 ) / 96
GCD(4, 96) = 384 / 96
GCD(4, 96) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 494) = 988
GCD(4, 494) = ( 4 x 494 ) / 988
GCD(4, 494) = 1976 / 988
GCD(4, 494) = 2
GCD of 500, 936, 96, 494 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 500, 936, 96, 494?
GCD of 500, 936, 96, 494 is 2
2. Where do I get the detailed procedure to find GCD of 500, 936, 96, 494?
You can find a detailed procedure to find GCD of 500, 936, 96, 494 on our page.
3. How to find GCD of 500, 936, 96, 494 on a calculator?
You can find the GCD of 500, 936, 96, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.