Online GCD Calculator is useful to find the GCD of 960, 595, 312 quickly. Get the easiest ways to solve the greatest common divisor of 960, 595, 312 i.e 1 in different methods as follows.
Given Input numbers are 960, 595, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 595 :
The positive integer divisors of 595 that completely divides 595 are.
1, 5, 7, 17, 35, 85, 119, 595
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 (960, 595, 312) = 1.
Given numbers are 960, 595, 312
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 595 are 5 x 7 x 17
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 960, 595, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 595) = 114240
GCD(960, 595) = ( 960 x 595 ) / 114240
= 960 / 595
= 960
Step2:
LCM(5, 312) = 1560
GCD(5, 312) = ( 5 x 312 ) / 1560
= 5 / 312
= 5
So, Greatest Common Divisor of 960, 595, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 595, 312
The greatest common divisor of numbers 960, 595, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 595, 312 is 1.
1. What is the GCD of 960, 595, 312?
GCD of given numbers 960, 595, 312 is 1
2. How to calculate the greatest common divisor of 960, 595, 312?
We can find the highest common divisor of 960, 595, 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 960, 595, 312 i.e 1.
3. How can I use the GCD of 960, 595, 312Calculator?
Out the numbers 960, 595, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.