Online GCD Calculator is useful to find the GCD of 927, 894, 24, 189 quickly. Get the easiest ways to solve the greatest common divisor of 927, 894, 24, 189 i.e 3 in different methods as follows.
Given Input numbers are 927, 894, 24, 189
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 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 24 :
The positive integer divisors of 24 that completely divides 24 are.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (927, 894, 24, 189) = 3.
Given numbers are 927, 894, 24, 189
The list of prime factors of all numbers are
Prime factors of 927 are 3 x 3 x 103
Prime factors of 894 are 2 x 3 x 149
Prime factors of 24 are 2 x 2 x 2 x 3
Prime factors of 189 are 3 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 927, 894, 24, 189 is 3.
Given numbers are 927, 894, 24, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(927, 894) = 276246
GCD(927, 894) = ( 927 x 894 ) / 276246
= 927 / 894
= 927
Step2:
LCM(3, 24) = 24
GCD(3, 24) = ( 3 x 24 ) / 24
= 3 / 24
= 3
Step3:
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
= 3 / 189
= 3
So, Greatest Common Divisor of 927, 894, 24, 189 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 927, 894, 24, 189
The greatest common divisor of numbers 927, 894, 24, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 927, 894, 24, 189 is 3.
1. What is the GCD of 927, 894, 24, 189?
GCD of given numbers 927, 894, 24, 189 is 3
2. How to calculate the greatest common divisor of 927, 894, 24, 189?
We can find the highest common divisor of 927, 894, 24, 189 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, 894, 24, 189 i.e 3.
3. How can I use the GCD of 927, 894, 24, 189Calculator?
Out the numbers 927, 894, 24, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.