Online GCD Calculator is useful to find the GCD of 864, 375, 195, 912 quickly. Get the easiest ways to solve the greatest common divisor of 864, 375, 195, 912 i.e 3 in different methods as follows.
Given Input numbers are 864, 375, 195, 912
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
GCD of numbers is the greatest common divisor
So, the GCD (864, 375, 195, 912) = 3.
Given numbers are 864, 375, 195, 912
The list of prime factors of all numbers are
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 195 are 3 x 5 x 13
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 864, 375, 195, 912 is 3.
Given numbers are 864, 375, 195, 912
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 375) = 108000
GCD(864, 375) = ( 864 x 375 ) / 108000
= 864 / 375
= 864
Step2:
LCM(3, 195) = 195
GCD(3, 195) = ( 3 x 195 ) / 195
= 3 / 195
= 3
Step3:
LCM(3, 912) = 912
GCD(3, 912) = ( 3 x 912 ) / 912
= 3 / 912
= 3
So, Greatest Common Divisor of 864, 375, 195, 912 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 864, 375, 195, 912
The greatest common divisor of numbers 864, 375, 195, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 375, 195, 912 is 3.
1. What is the GCD of 864, 375, 195, 912?
GCD of given numbers 864, 375, 195, 912 is 3
2. How to calculate the greatest common divisor of 864, 375, 195, 912?
We can find the highest common divisor of 864, 375, 195, 912 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 864, 375, 195, 912 i.e 3.
3. How can I use the GCD of 864, 375, 195, 912Calculator?
Out the numbers 864, 375, 195, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.