Online GCD Calculator is useful to find the GCD of 927, 756, 111, 396 quickly. Get the easiest ways to solve the greatest common divisor of 927, 756, 111, 396 i.e 3 in different methods as follows.
Given Input numbers are 927, 756, 111, 396
In the factoring method, we have to find the divisors of all numbers
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
GCD of numbers is the greatest common divisor
So, the GCD (927, 756, 111, 396) = 3.
Given numbers are 927, 756, 111, 396
The list of prime factors of all numbers are
Prime factors of 927 are 3 x 3 x 103
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 111 are 3 x 37
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 927, 756, 111, 396 is 3.
Given numbers are 927, 756, 111, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(927, 756) = 77868
GCD(927, 756) = ( 927 x 756 ) / 77868
= 927 / 756
= 927
Step2:
LCM(9, 111) = 333
GCD(9, 111) = ( 9 x 111 ) / 333
= 9 / 111
= 9
Step3:
LCM(3, 396) = 396
GCD(3, 396) = ( 3 x 396 ) / 396
= 3 / 396
= 3
So, Greatest Common Divisor of 927, 756, 111, 396 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 927, 756, 111, 396
The greatest common divisor of numbers 927, 756, 111, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 927, 756, 111, 396 is 3.
1. What is the GCD of 927, 756, 111, 396?
GCD of given numbers 927, 756, 111, 396 is 3
2. How to calculate the greatest common divisor of 927, 756, 111, 396?
We can find the highest common divisor of 927, 756, 111, 396 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 927, 756, 111, 396 i.e 3.
3. How can I use the GCD of 927, 756, 111, 396Calculator?
Out the numbers 927, 756, 111, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.