Online GCD Calculator is useful to find the GCD of 891, 729, 990, 303 quickly. Get the easiest ways to solve the greatest common divisor of 891, 729, 990, 303 i.e 3 in different methods as follows.
Given Input numbers are 891, 729, 990, 303
In the factoring method, we have to find the divisors of all numbers
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
GCD of numbers is the greatest common divisor
So, the GCD (891, 729, 990, 303) = 3.
Given numbers are 891, 729, 990, 303
The list of prime factors of all numbers are
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 303 are 3 x 101
The highest common occurrence is 31
Therefore, GCD of 891, 729, 990, 303 is 3.
Given numbers are 891, 729, 990, 303
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(891, 729) = 8019
GCD(891, 729) = ( 891 x 729 ) / 8019
= 891 / 729
= 891
Step2:
LCM(81, 990) = 8910
GCD(81, 990) = ( 81 x 990 ) / 8910
= 81 / 990
= 81
Step3:
LCM(9, 303) = 909
GCD(9, 303) = ( 9 x 303 ) / 909
= 9 / 303
= 9
So, Greatest Common Divisor of 891, 729, 990, 303 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 891, 729, 990, 303
The greatest common divisor of numbers 891, 729, 990, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 729, 990, 303 is 3.
1. What is the GCD of 891, 729, 990, 303?
GCD of given numbers 891, 729, 990, 303 is 3
2. How to calculate the greatest common divisor of 891, 729, 990, 303?
We can find the highest common divisor of 891, 729, 990, 303 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 891, 729, 990, 303 i.e 3.
3. How can I use the GCD of 891, 729, 990, 303Calculator?
Out the numbers 891, 729, 990, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.