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 317, 500, 305, 953 i.e. 1 largest integer that divides all the numbers equally.
GCD of 317, 500, 305, 953 is 1
GCD(317, 500, 305, 953) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 317, 500, 305, 953 is 1
GCD(317, 500, 305, 953) = 1
Given Input numbers are 317, 500, 305, 953
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
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 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Greatest Common Divisior
We found the divisors of 317, 500, 305, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 500, 305, 953 is 1.
Therefore, GCD of numbers 317, 500, 305, 953 is 1
Given Input Data is 317, 500, 305, 953
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 317 is 317
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 305 is 5 x 61
Prime Factorization of 953 is 953
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(317, 500) = 158500
GCD(317, 500) = ( 317 x 500 ) / 158500
GCD(317, 500) = 158500 / 158500
GCD(317, 500) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 953) = 953
GCD(1, 953) = ( 1 x 953 ) / 953
GCD(1, 953) = 953 / 953
GCD(1, 953) = 1
GCD of 317, 500, 305, 953 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 317, 500, 305, 953?
GCD of 317, 500, 305, 953 is 1
2. Where do I get the detailed procedure to find GCD of 317, 500, 305, 953?
You can find a detailed procedure to find GCD of 317, 500, 305, 953 on our page.
3. How to find GCD of 317, 500, 305, 953 on a calculator?
You can find the GCD of 317, 500, 305, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.