Online GCD Calculator is useful to find the GCD of 891, 729, 315 quickly. Get the easiest ways to solve the greatest common divisor of 891, 729, 315 i.e 9 in different methods as follows.
Given Input numbers are 891, 729, 315
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 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
GCD of numbers is the greatest common divisor
So, the GCD (891, 729, 315) = 9.
Given numbers are 891, 729, 315
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 315 are 3 x 3 x 5 x 7
The highest common occurrence is 32
Therefore, GCD of 891, 729, 315 is 9.
Given numbers are 891, 729, 315
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, 315) = 2835
GCD(81, 315) = ( 81 x 315 ) / 2835
= 81 / 315
= 81
So, Greatest Common Divisor of 891, 729, 315 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 891, 729, 315
The greatest common divisor of numbers 891, 729, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 729, 315 is 9.
1. What is the GCD of 891, 729, 315?
GCD of given numbers 891, 729, 315 is 9
2. How to calculate the greatest common divisor of 891, 729, 315?
We can find the highest common divisor of 891, 729, 315 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, 315 i.e 9.
3. How can I use the GCD of 891, 729, 315Calculator?
Out the numbers 891, 729, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.