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 390, 733, 600, 315 i.e. 1 largest integer that divides all the numbers equally.
GCD of 390, 733, 600, 315 is 1
GCD(390, 733, 600, 315) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 390, 733, 600, 315 is 1
GCD(390, 733, 600, 315) = 1
Given Input numbers are 390, 733, 600, 315
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
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
Greatest Common Divisior
We found the divisors of 390, 733, 600, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 733, 600, 315 is 1.
Therefore, GCD of numbers 390, 733, 600, 315 is 1
Given Input Data is 390, 733, 600, 315
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 733 is 733
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 315 is 3 x 3 x 5 x 7
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(390, 733) = 285870
GCD(390, 733) = ( 390 x 733 ) / 285870
GCD(390, 733) = 285870 / 285870
GCD(390, 733) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 315
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
GCD(1, 315) = 315 / 315
GCD(1, 315) = 1
GCD of 390, 733, 600, 315 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 390, 733, 600, 315?
GCD of 390, 733, 600, 315 is 1
2. Where do I get the detailed procedure to find GCD of 390, 733, 600, 315?
You can find a detailed procedure to find GCD of 390, 733, 600, 315 on our page.
3. How to find GCD of 390, 733, 600, 315 on a calculator?
You can find the GCD of 390, 733, 600, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.