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 908, 615, 31, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 908, 615, 31, 146 is 1
GCD(908, 615, 31, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 908, 615, 31, 146 is 1
GCD(908, 615, 31, 146) = 1
Given Input numbers are 908, 615, 31, 146
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 908, 615, 31, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 615, 31, 146 is 1.
Therefore, GCD of numbers 908, 615, 31, 146 is 1
Given Input Data is 908, 615, 31, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 31 is 31
Prime Factorization of 146 is 2 x 73
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(908, 615) = 558420
GCD(908, 615) = ( 908 x 615 ) / 558420
GCD(908, 615) = 558420 / 558420
GCD(908, 615) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 908, 615, 31, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 908, 615, 31, 146?
GCD of 908, 615, 31, 146 is 1
2. Where do I get the detailed procedure to find GCD of 908, 615, 31, 146?
You can find a detailed procedure to find GCD of 908, 615, 31, 146 on our page.
3. How to find GCD of 908, 615, 31, 146 on a calculator?
You can find the GCD of 908, 615, 31, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.