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, 495, 95, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 390, 495, 95, 613 is 1
GCD(390, 495, 95, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 390, 495, 95, 613 is 1
GCD(390, 495, 95, 613) = 1
Given Input numbers are 390, 495, 95, 613
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 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 390, 495, 95, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 495, 95, 613 is 1.
Therefore, GCD of numbers 390, 495, 95, 613 is 1
Given Input Data is 390, 495, 95, 613
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 495 is 3 x 3 x 5 x 11
Prime Factorization of 95 is 5 x 19
Prime Factorization of 613 is 613
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, 495) = 12870
GCD(390, 495) = ( 390 x 495 ) / 12870
GCD(390, 495) = 193050 / 12870
GCD(390, 495) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 95) = 285
GCD(15, 95) = ( 15 x 95 ) / 285
GCD(15, 95) = 1425 / 285
GCD(15, 95) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 613) = 3065
GCD(5, 613) = ( 5 x 613 ) / 3065
GCD(5, 613) = 3065 / 3065
GCD(5, 613) = 1
GCD of 390, 495, 95, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 390, 495, 95, 613?
GCD of 390, 495, 95, 613 is 1
2. Where do I get the detailed procedure to find GCD of 390, 495, 95, 613?
You can find a detailed procedure to find GCD of 390, 495, 95, 613 on our page.
3. How to find GCD of 390, 495, 95, 613 on a calculator?
You can find the GCD of 390, 495, 95, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.