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 315, 333, 507, 347 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 333, 507, 347 is 1
GCD(315, 333, 507, 347) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 333, 507, 347 is 1
GCD(315, 333, 507, 347) = 1
Given Input numbers are 315, 333, 507, 347
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Greatest Common Divisior
We found the divisors of 315, 333, 507, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 333, 507, 347 is 1.
Therefore, GCD of numbers 315, 333, 507, 347 is 1
Given Input Data is 315, 333, 507, 347
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 347 is 347
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(315, 333) = 11655
GCD(315, 333) = ( 315 x 333 ) / 11655
GCD(315, 333) = 104895 / 11655
GCD(315, 333) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 507) = 1521
GCD(9, 507) = ( 9 x 507 ) / 1521
GCD(9, 507) = 4563 / 1521
GCD(9, 507) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 347) = 1041
GCD(3, 347) = ( 3 x 347 ) / 1041
GCD(3, 347) = 1041 / 1041
GCD(3, 347) = 1
GCD of 315, 333, 507, 347 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 333, 507, 347?
GCD of 315, 333, 507, 347 is 1
2. Where do I get the detailed procedure to find GCD of 315, 333, 507, 347?
You can find a detailed procedure to find GCD of 315, 333, 507, 347 on our page.
3. How to find GCD of 315, 333, 507, 347 on a calculator?
You can find the GCD of 315, 333, 507, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.