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 904, 678, 181, 490 i.e. 1 largest integer that divides all the numbers equally.
GCD of 904, 678, 181, 490 is 1
GCD(904, 678, 181, 490) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 904, 678, 181, 490 is 1
GCD(904, 678, 181, 490) = 1
Given Input numbers are 904, 678, 181, 490
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Greatest Common Divisior
We found the divisors of 904, 678, 181, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 678, 181, 490 is 1.
Therefore, GCD of numbers 904, 678, 181, 490 is 1
Given Input Data is 904, 678, 181, 490
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 181 is 181
Prime Factorization of 490 is 2 x 5 x 7 x 7
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(904, 678) = 2712
GCD(904, 678) = ( 904 x 678 ) / 2712
GCD(904, 678) = 612912 / 2712
GCD(904, 678) = 226
Step2:
Here we consider the GCD from the above i.e. 226 as first number and the next as 181
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(226, 181) = 40906
GCD(226, 181) = ( 226 x 181 ) / 40906
GCD(226, 181) = 40906 / 40906
GCD(226, 181) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
GCD of 904, 678, 181, 490 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 904, 678, 181, 490?
GCD of 904, 678, 181, 490 is 1
2. Where do I get the detailed procedure to find GCD of 904, 678, 181, 490?
You can find a detailed procedure to find GCD of 904, 678, 181, 490 on our page.
3. How to find GCD of 904, 678, 181, 490 on a calculator?
You can find the GCD of 904, 678, 181, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.