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 464, 819, 500, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 464, 819, 500, 731 is 1
GCD(464, 819, 500, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 819, 500, 731 is 1
GCD(464, 819, 500, 731) = 1
Given Input numbers are 464, 819, 500, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
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 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 464, 819, 500, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 819, 500, 731 is 1.
Therefore, GCD of numbers 464, 819, 500, 731 is 1
Given Input Data is 464, 819, 500, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 731 is 17 x 43
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(464, 819) = 380016
GCD(464, 819) = ( 464 x 819 ) / 380016
GCD(464, 819) = 380016 / 380016
GCD(464, 819) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
GCD(1, 500) = 500 / 500
GCD(1, 500) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
GCD of 464, 819, 500, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 819, 500, 731?
GCD of 464, 819, 500, 731 is 1
2. Where do I get the detailed procedure to find GCD of 464, 819, 500, 731?
You can find a detailed procedure to find GCD of 464, 819, 500, 731 on our page.
3. How to find GCD of 464, 819, 500, 731 on a calculator?
You can find the GCD of 464, 819, 500, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.