Online GCD Calculator is useful to find the GCD of 938, 504, 186, 864 quickly. Get the easiest ways to solve the greatest common divisor of 938, 504, 186, 864 i.e 2 in different methods as follows.
Given Input numbers are 938, 504, 186, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
GCD of numbers is the greatest common divisor
So, the GCD (938, 504, 186, 864) = 2.
Given numbers are 938, 504, 186, 864
The list of prime factors of all numbers are
Prime factors of 938 are 2 x 7 x 67
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 186 are 2 x 3 x 31
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 938, 504, 186, 864 is 2.
Given numbers are 938, 504, 186, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(938, 504) = 33768
GCD(938, 504) = ( 938 x 504 ) / 33768
= 938 / 504
= 938
Step2:
LCM(14, 186) = 1302
GCD(14, 186) = ( 14 x 186 ) / 1302
= 14 / 186
= 14
Step3:
LCM(2, 864) = 864
GCD(2, 864) = ( 2 x 864 ) / 864
= 2 / 864
= 2
So, Greatest Common Divisor of 938, 504, 186, 864 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 938, 504, 186, 864
The greatest common divisor of numbers 938, 504, 186, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 504, 186, 864 is 2.
1. What is the GCD of 938, 504, 186, 864?
GCD of given numbers 938, 504, 186, 864 is 2
2. How to calculate the greatest common divisor of 938, 504, 186, 864?
We can find the highest common divisor of 938, 504, 186, 864 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 938, 504, 186, 864 i.e 2.
3. How can I use the GCD of 938, 504, 186, 864Calculator?
Out the numbers 938, 504, 186, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.