Online GCD Calculator is useful to find the GCD of 927, 378, 585, 168 quickly. Get the easiest ways to solve the greatest common divisor of 927, 378, 585, 168 i.e 3 in different methods as follows.
Given Input numbers are 927, 378, 585, 168
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 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (927, 378, 585, 168) = 3.
Given numbers are 927, 378, 585, 168
The list of prime factors of all numbers are
Prime factors of 927 are 3 x 3 x 103
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 927, 378, 585, 168 is 3.
Given numbers are 927, 378, 585, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(927, 378) = 38934
GCD(927, 378) = ( 927 x 378 ) / 38934
= 927 / 378
= 927
Step2:
LCM(9, 585) = 585
GCD(9, 585) = ( 9 x 585 ) / 585
= 9 / 585
= 9
Step3:
LCM(9, 168) = 504
GCD(9, 168) = ( 9 x 168 ) / 504
= 9 / 168
= 9
So, Greatest Common Divisor of 927, 378, 585, 168 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 927, 378, 585, 168
The greatest common divisor of numbers 927, 378, 585, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 927, 378, 585, 168 is 3.
1. What is the GCD of 927, 378, 585, 168?
GCD of given numbers 927, 378, 585, 168 is 3
2. How to calculate the greatest common divisor of 927, 378, 585, 168?
We can find the highest common divisor of 927, 378, 585, 168 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, 378, 585, 168 i.e 3.
3. How can I use the GCD of 927, 378, 585, 168Calculator?
Out the numbers 927, 378, 585, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.