Online GCD Calculator is useful to find the GCD of 990, 812, 927, 114 quickly. Get the easiest ways to solve the greatest common divisor of 990, 812, 927, 114 i.e 1 in different methods as follows.
Given Input numbers are 990, 812, 927, 114
In the factoring method, we have to find the divisors of all numbers
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 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (990, 812, 927, 114) = 1.
Given numbers are 990, 812, 927, 114
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 927 are 3 x 3 x 103
Prime factors of 114 are 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 812, 927, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 812) = 401940
GCD(990, 812) = ( 990 x 812 ) / 401940
= 990 / 812
= 990
Step2:
LCM(2, 927) = 1854
GCD(2, 927) = ( 2 x 927 ) / 1854
= 2 / 927
= 2
Step3:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
So, Greatest Common Divisor of 990, 812, 927, 114 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 812, 927, 114
The greatest common divisor of numbers 990, 812, 927, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 812, 927, 114 is 1.
1. What is the GCD of 990, 812, 927, 114?
GCD of given numbers 990, 812, 927, 114 is 1
2. How to calculate the greatest common divisor of 990, 812, 927, 114?
We can find the highest common divisor of 990, 812, 927, 114 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 990, 812, 927, 114 i.e 1.
3. How can I use the GCD of 990, 812, 927, 114Calculator?
Out the numbers 990, 812, 927, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.