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, 568, 390, 465 i.e. 1 largest integer that divides all the numbers equally.
GCD of 908, 568, 390, 465 is 1
GCD(908, 568, 390, 465) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 908, 568, 390, 465 is 1
GCD(908, 568, 390, 465) = 1
Given Input numbers are 908, 568, 390, 465
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 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
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 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Greatest Common Divisior
We found the divisors of 908, 568, 390, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 568, 390, 465 is 1.
Therefore, GCD of numbers 908, 568, 390, 465 is 1
Given Input Data is 908, 568, 390, 465
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 568 is 2 x 2 x 2 x 71
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 465 is 3 x 5 x 31
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, 568) = 128936
GCD(908, 568) = ( 908 x 568 ) / 128936
GCD(908, 568) = 515744 / 128936
GCD(908, 568) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 390) = 780
GCD(4, 390) = ( 4 x 390 ) / 780
GCD(4, 390) = 1560 / 780
GCD(4, 390) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 465) = 930
GCD(2, 465) = ( 2 x 465 ) / 930
GCD(2, 465) = 930 / 930
GCD(2, 465) = 1
GCD of 908, 568, 390, 465 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 908, 568, 390, 465?
GCD of 908, 568, 390, 465 is 1
2. Where do I get the detailed procedure to find GCD of 908, 568, 390, 465?
You can find a detailed procedure to find GCD of 908, 568, 390, 465 on our page.
3. How to find GCD of 908, 568, 390, 465 on a calculator?
You can find the GCD of 908, 568, 390, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.