Online GCD Calculator is useful to find the GCD of 999, 891, 116 quickly. Get the easiest ways to solve the greatest common divisor of 999, 891, 116 i.e 1 in different methods as follows.
Given Input numbers are 999, 891, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
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 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (999, 891, 116) = 1.
Given numbers are 999, 891, 116
The list of prime factors of all numbers are
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 116 are 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 999, 891, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(999, 891) = 32967
GCD(999, 891) = ( 999 x 891 ) / 32967
= 999 / 891
= 999
Step2:
LCM(27, 116) = 3132
GCD(27, 116) = ( 27 x 116 ) / 3132
= 27 / 116
= 27
So, Greatest Common Divisor of 999, 891, 116 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 999, 891, 116
The greatest common divisor of numbers 999, 891, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 891, 116 is 1.
1. What is the GCD of 999, 891, 116?
GCD of given numbers 999, 891, 116 is 1
2. How to calculate the greatest common divisor of 999, 891, 116?
We can find the highest common divisor of 999, 891, 116 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 999, 891, 116 i.e 1.
3. How can I use the GCD of 999, 891, 116Calculator?
Out the numbers 999, 891, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.