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, 507, 65, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 390, 507, 65, 501 is 1
GCD(390, 507, 65, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 390, 507, 65, 501 is 1
GCD(390, 507, 65, 501) = 1
Given Input numbers are 390, 507, 65, 501
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 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 390, 507, 65, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 507, 65, 501 is 1.
Therefore, GCD of numbers 390, 507, 65, 501 is 1
Given Input Data is 390, 507, 65, 501
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 507 is 3 x 13 x 13
Prime Factorization of 65 is 5 x 13
Prime Factorization of 501 is 3 x 167
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, 507) = 5070
GCD(390, 507) = ( 390 x 507 ) / 5070
GCD(390, 507) = 197730 / 5070
GCD(390, 507) = 39
Step2:
Here we consider the GCD from the above i.e. 39 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(39, 65) = 195
GCD(39, 65) = ( 39 x 65 ) / 195
GCD(39, 65) = 2535 / 195
GCD(39, 65) = 13
Step3:
Here we consider the GCD from the above i.e. 13 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 501) = 6513
GCD(13, 501) = ( 13 x 501 ) / 6513
GCD(13, 501) = 6513 / 6513
GCD(13, 501) = 1
GCD of 390, 507, 65, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 390, 507, 65, 501?
GCD of 390, 507, 65, 501 is 1
2. Where do I get the detailed procedure to find GCD of 390, 507, 65, 501?
You can find a detailed procedure to find GCD of 390, 507, 65, 501 on our page.
3. How to find GCD of 390, 507, 65, 501 on a calculator?
You can find the GCD of 390, 507, 65, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.