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 495, 305, 38, 915 i.e. 1 largest integer that divides all the numbers equally.
GCD of 495, 305, 38, 915 is 1
GCD(495, 305, 38, 915) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 495, 305, 38, 915 is 1
GCD(495, 305, 38, 915) = 1
Given Input numbers are 495, 305, 38, 915
To find the GCD of numbers using factoring list out all the divisors of each number
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 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Greatest Common Divisior
We found the divisors of 495, 305, 38, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 305, 38, 915 is 1.
Therefore, GCD of numbers 495, 305, 38, 915 is 1
Given Input Data is 495, 305, 38, 915
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 305 is 5 x 61
Prime Factorization of 38 is 2 x 19
Prime Factorization of 915 is 3 x 5 x 61
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(495, 305) = 30195
GCD(495, 305) = ( 495 x 305 ) / 30195
GCD(495, 305) = 150975 / 30195
GCD(495, 305) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 38) = 190
GCD(5, 38) = ( 5 x 38 ) / 190
GCD(5, 38) = 190 / 190
GCD(5, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 915) = 915
GCD(1, 915) = ( 1 x 915 ) / 915
GCD(1, 915) = 915 / 915
GCD(1, 915) = 1
GCD of 495, 305, 38, 915 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 495, 305, 38, 915?
GCD of 495, 305, 38, 915 is 1
2. Where do I get the detailed procedure to find GCD of 495, 305, 38, 915?
You can find a detailed procedure to find GCD of 495, 305, 38, 915 on our page.
3. How to find GCD of 495, 305, 38, 915 on a calculator?
You can find the GCD of 495, 305, 38, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.