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, 304, 13, 732 i.e. 1 largest integer that divides all the numbers equally.
GCD of 882, 304, 13, 732 is 1
GCD(882, 304, 13, 732) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 304, 13, 732 is 1
GCD(882, 304, 13, 732) = 1
Given Input numbers are 882, 304, 13, 732
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 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Greatest Common Divisior
We found the divisors of 882, 304, 13, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 304, 13, 732 is 1.
Therefore, GCD of numbers 882, 304, 13, 732 is 1
Given Input Data is 882, 304, 13, 732
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 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 13 is 13
Prime Factorization of 732 is 2 x 2 x 3 x 61
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, 304) = 134064
GCD(882, 304) = ( 882 x 304 ) / 134064
GCD(882, 304) = 268128 / 134064
GCD(882, 304) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
GCD(2, 13) = 26 / 26
GCD(2, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 732) = 732
GCD(1, 732) = ( 1 x 732 ) / 732
GCD(1, 732) = 732 / 732
GCD(1, 732) = 1
GCD of 882, 304, 13, 732 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 882, 304, 13, 732?
GCD of 882, 304, 13, 732 is 1
2. Where do I get the detailed procedure to find GCD of 882, 304, 13, 732?
You can find a detailed procedure to find GCD of 882, 304, 13, 732 on our page.
3. How to find GCD of 882, 304, 13, 732 on a calculator?
You can find the GCD of 882, 304, 13, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.