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 891, 369, 73 i.e. 1 largest integer that divides all the numbers equally.
GCD of 891, 369, 73 is 1
GCD(891, 369, 73) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 891, 369, 73 is 1
GCD(891, 369, 73) = 1
Given Input numbers are 891, 369, 73
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Greatest Common Divisior
We found the divisors of 891, 369, 73 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 369, 73 is 1.
Therefore, GCD of numbers 891, 369, 73 is 1
Given Input Data is 891, 369, 73
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 73 is 73
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(891, 369) = 36531
GCD(891, 369) = ( 891 x 369 ) / 36531
GCD(891, 369) = 328779 / 36531
GCD(891, 369) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 73) = 657
GCD(9, 73) = ( 9 x 73 ) / 657
GCD(9, 73) = 657 / 657
GCD(9, 73) = 1
GCD of 891, 369, 73 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 891, 369, 73?
GCD of 891, 369, 73 is 1
2. Where do I get the detailed procedure to find GCD of 891, 369, 73?
You can find a detailed procedure to find GCD of 891, 369, 73 on our page.
3. How to find GCD of 891, 369, 73 on a calculator?
You can find the GCD of 891, 369, 73 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.