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 307, 500, 441, 717 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 500, 441, 717 is 1
GCD(307, 500, 441, 717) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 500, 441, 717 is 1
GCD(307, 500, 441, 717) = 1
Given Input numbers are 307, 500, 441, 717
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
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 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Greatest Common Divisior
We found the divisors of 307, 500, 441, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 500, 441, 717 is 1.
Therefore, GCD of numbers 307, 500, 441, 717 is 1
Given Input Data is 307, 500, 441, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 717 is 3 x 239
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(307, 500) = 153500
GCD(307, 500) = ( 307 x 500 ) / 153500
GCD(307, 500) = 153500 / 153500
GCD(307, 500) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
GCD(1, 441) = 441 / 441
GCD(1, 441) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 717) = 717
GCD(1, 717) = ( 1 x 717 ) / 717
GCD(1, 717) = 717 / 717
GCD(1, 717) = 1
GCD of 307, 500, 441, 717 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 500, 441, 717?
GCD of 307, 500, 441, 717 is 1
2. Where do I get the detailed procedure to find GCD of 307, 500, 441, 717?
You can find a detailed procedure to find GCD of 307, 500, 441, 717 on our page.
3. How to find GCD of 307, 500, 441, 717 on a calculator?
You can find the GCD of 307, 500, 441, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.