Online GCD Calculator is useful to find the GCD of 104, 468, 312 quickly. Get the easiest ways to solve the greatest common divisor of 104, 468, 312 i.e 52 in different methods as follows.
Given Input numbers are 104, 468, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
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
GCD of numbers is the greatest common divisor
So, the GCD (104, 468, 312) = 52.
Given numbers are 104, 468, 312
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 131 x 22
Therefore, GCD of 104, 468, 312 is 52.
Given numbers are 104, 468, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 468) = 936
GCD(104, 468) = ( 104 x 468 ) / 936
= 104 / 468
= 104
Step2:
LCM(52, 312) = 312
GCD(52, 312) = ( 52 x 312 ) / 312
= 52 / 312
= 52
So, Greatest Common Divisor of 104, 468, 312 is 52
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 468, 312
The greatest common divisor of numbers 104, 468, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 468, 312 is 52.
1. What is the GCD of 104, 468, 312?
GCD of given numbers 104, 468, 312 is 52
2. How to calculate the greatest common divisor of 104, 468, 312?
We can find the highest common divisor of 104, 468, 312 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 104, 468, 312 i.e 52.
3. How can I use the GCD of 104, 468, 312Calculator?
Out the numbers 104, 468, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.