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, 854, 40, 637 i.e. 1 largest integer that divides all the numbers equally.
GCD of 908, 854, 40, 637 is 1
GCD(908, 854, 40, 637) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 908, 854, 40, 637 is 1
GCD(908, 854, 40, 637) = 1
Given Input numbers are 908, 854, 40, 637
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 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Greatest Common Divisior
We found the divisors of 908, 854, 40, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 854, 40, 637 is 1.
Therefore, GCD of numbers 908, 854, 40, 637 is 1
Given Input Data is 908, 854, 40, 637
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 854 is 2 x 7 x 61
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 637 is 7 x 7 x 13
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, 854) = 387716
GCD(908, 854) = ( 908 x 854 ) / 387716
GCD(908, 854) = 775432 / 387716
GCD(908, 854) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 40) = 40
GCD(2, 40) = ( 2 x 40 ) / 40
GCD(2, 40) = 80 / 40
GCD(2, 40) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 637
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 637) = 1274
GCD(2, 637) = ( 2 x 637 ) / 1274
GCD(2, 637) = 1274 / 1274
GCD(2, 637) = 1
GCD of 908, 854, 40, 637 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 908, 854, 40, 637?
GCD of 908, 854, 40, 637 is 1
2. Where do I get the detailed procedure to find GCD of 908, 854, 40, 637?
You can find a detailed procedure to find GCD of 908, 854, 40, 637 on our page.
3. How to find GCD of 908, 854, 40, 637 on a calculator?
You can find the GCD of 908, 854, 40, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.