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, 496, 403, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 908, 496, 403, 301 is 1
GCD(908, 496, 403, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 908, 496, 403, 301 is 1
GCD(908, 496, 403, 301) = 1
Given Input numbers are 908, 496, 403, 301
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 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 908, 496, 403, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 496, 403, 301 is 1.
Therefore, GCD of numbers 908, 496, 403, 301 is 1
Given Input Data is 908, 496, 403, 301
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 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 403 is 13 x 31
Prime Factorization of 301 is 7 x 43
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, 496) = 112592
GCD(908, 496) = ( 908 x 496 ) / 112592
GCD(908, 496) = 450368 / 112592
GCD(908, 496) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 403) = 1612
GCD(4, 403) = ( 4 x 403 ) / 1612
GCD(4, 403) = 1612 / 1612
GCD(4, 403) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 908, 496, 403, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 908, 496, 403, 301?
GCD of 908, 496, 403, 301 is 1
2. Where do I get the detailed procedure to find GCD of 908, 496, 403, 301?
You can find a detailed procedure to find GCD of 908, 496, 403, 301 on our page.
3. How to find GCD of 908, 496, 403, 301 on a calculator?
You can find the GCD of 908, 496, 403, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.