Online GCD Calculator is useful to find the GCD of 312, 792, 309, 530 quickly. Get the easiest ways to solve the greatest common divisor of 312, 792, 309, 530 i.e 1 in different methods as follows.
Given Input numbers are 312, 792, 309, 530
In the factoring method, we have to find the divisors of all numbers
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 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
GCD of numbers is the greatest common divisor
So, the GCD (312, 792, 309, 530) = 1.
Given numbers are 312, 792, 309, 530
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 309 are 3 x 103
Prime factors of 530 are 2 x 5 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 312, 792, 309, 530
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 792) = 10296
GCD(312, 792) = ( 312 x 792 ) / 10296
= 312 / 792
= 312
Step2:
LCM(24, 309) = 2472
GCD(24, 309) = ( 24 x 309 ) / 2472
= 24 / 309
= 24
Step3:
LCM(3, 530) = 1590
GCD(3, 530) = ( 3 x 530 ) / 1590
= 3 / 530
= 3
So, Greatest Common Divisor of 312, 792, 309, 530 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 792, 309, 530
The greatest common divisor of numbers 312, 792, 309, 530 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 792, 309, 530 is 1.
1. What is the GCD of 312, 792, 309, 530?
GCD of given numbers 312, 792, 309, 530 is 1
2. How to calculate the greatest common divisor of 312, 792, 309, 530?
We can find the highest common divisor of 312, 792, 309, 530 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 312, 792, 309, 530 i.e 1.
3. How can I use the GCD of 312, 792, 309, 530Calculator?
Out the numbers 312, 792, 309, 530 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.