Online GCD Calculator is useful to find the GCD of 390, 312, 717 quickly. Get the easiest ways to solve the greatest common divisor of 390, 312, 717 i.e 3 in different methods as follows.
Given Input numbers are 390, 312, 717
In the factoring method, we have to find the divisors of all numbers
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
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 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
GCD of numbers is the greatest common divisor
So, the GCD (390, 312, 717) = 3.
Given numbers are 390, 312, 717
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 717 are 3 x 239
The highest common occurrence is 31
Therefore, GCD of 390, 312, 717 is 3.
Given numbers are 390, 312, 717
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 312) = 1560
GCD(390, 312) = ( 390 x 312 ) / 1560
= 390 / 312
= 390
Step2:
LCM(78, 717) = 18642
GCD(78, 717) = ( 78 x 717 ) / 18642
= 78 / 717
= 78
So, Greatest Common Divisor of 390, 312, 717 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 312, 717
The greatest common divisor of numbers 390, 312, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 312, 717 is 3.
1. What is the GCD of 390, 312, 717?
GCD of given numbers 390, 312, 717 is 3
2. How to calculate the greatest common divisor of 390, 312, 717?
We can find the highest common divisor of 390, 312, 717 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 390, 312, 717 i.e 3.
3. How can I use the GCD of 390, 312, 717Calculator?
Out the numbers 390, 312, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.