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 882, 904, 330, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 882, 904, 330, 149 is 1
GCD(882, 904, 330, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 904, 330, 149 is 1
GCD(882, 904, 330, 149) = 1
Given Input numbers are 882, 904, 330, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
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 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 882, 904, 330, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 904, 330, 149 is 1.
Therefore, GCD of numbers 882, 904, 330, 149 is 1
Given Input Data is 882, 904, 330, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 149 is 149
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(882, 904) = 398664
GCD(882, 904) = ( 882 x 904 ) / 398664
GCD(882, 904) = 797328 / 398664
GCD(882, 904) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 330) = 330
GCD(2, 330) = ( 2 x 330 ) / 330
GCD(2, 330) = 660 / 330
GCD(2, 330) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 149) = 298
GCD(2, 149) = ( 2 x 149 ) / 298
GCD(2, 149) = 298 / 298
GCD(2, 149) = 1
GCD of 882, 904, 330, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 882, 904, 330, 149?
GCD of 882, 904, 330, 149 is 1
2. Where do I get the detailed procedure to find GCD of 882, 904, 330, 149?
You can find a detailed procedure to find GCD of 882, 904, 330, 149 on our page.
3. How to find GCD of 882, 904, 330, 149 on a calculator?
You can find the GCD of 882, 904, 330, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.