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, 663, 943 i.e. 1 largest integer that divides all the numbers equally.
GCD of 500, 663, 943 is 1
GCD(500, 663, 943) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 500, 663, 943 is 1
GCD(500, 663, 943) = 1
Given Input numbers are 500, 663, 943
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 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Greatest Common Divisior
We found the divisors of 500, 663, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 663, 943 is 1.
Therefore, GCD of numbers 500, 663, 943 is 1
Given Input Data is 500, 663, 943
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 663 is 3 x 13 x 17
Prime Factorization of 943 is 23 x 41
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(500, 663) = 331500
GCD(500, 663) = ( 500 x 663 ) / 331500
GCD(500, 663) = 331500 / 331500
GCD(500, 663) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 943
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 943) = 943
GCD(1, 943) = ( 1 x 943 ) / 943
GCD(1, 943) = 943 / 943
GCD(1, 943) = 1
GCD of 500, 663, 943 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 500, 663, 943?
GCD of 500, 663, 943 is 1
2. Where do I get the detailed procedure to find GCD of 500, 663, 943?
You can find a detailed procedure to find GCD of 500, 663, 943 on our page.
3. How to find GCD of 500, 663, 943 on a calculator?
You can find the GCD of 500, 663, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.