Online GCD Calculator is useful to find the GCD of 912, 312, 360 quickly. Get the easiest ways to solve the greatest common divisor of 912, 312, 360 i.e 24 in different methods as follows.
Given Input numbers are 912, 312, 360
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (912, 312, 360) = 24.
Given numbers are 912, 312, 360
The list of prime factors of all numbers are
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 23 x 31
Therefore, GCD of 912, 312, 360 is 24.
Given numbers are 912, 312, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(912, 312) = 11856
GCD(912, 312) = ( 912 x 312 ) / 11856
= 912 / 312
= 912
Step2:
LCM(24, 360) = 360
GCD(24, 360) = ( 24 x 360 ) / 360
= 24 / 360
= 24
So, Greatest Common Divisor of 912, 312, 360 is 24
Here are some samples of GCD of Numbers calculations.
Given numbers are 912, 312, 360
The greatest common divisor of numbers 912, 312, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 312, 360 is 24.
1. What is the GCD of 912, 312, 360?
GCD of given numbers 912, 312, 360 is 24
2. How to calculate the greatest common divisor of 912, 312, 360?
We can find the highest common divisor of 912, 312, 360 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 912, 312, 360 i.e 24.
3. How can I use the GCD of 912, 312, 360Calculator?
Out the numbers 912, 312, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.