Online GCD Calculator is useful to find the GCD of 312, 804, 307, 440 quickly. Get the easiest ways to solve the greatest common divisor of 312, 804, 307, 440 i.e 1 in different methods as follows.
Given Input numbers are 312, 804, 307, 440
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 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
GCD of numbers is the greatest common divisor
So, the GCD (312, 804, 307, 440) = 1.
Given numbers are 312, 804, 307, 440
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 804 are 2 x 2 x 3 x 67
Prime factors of 307 are 307
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 312, 804, 307, 440
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 804) = 20904
GCD(312, 804) = ( 312 x 804 ) / 20904
= 312 / 804
= 312
Step2:
LCM(12, 307) = 3684
GCD(12, 307) = ( 12 x 307 ) / 3684
= 12 / 307
= 12
Step3:
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
= 1 / 440
= 1
So, Greatest Common Divisor of 312, 804, 307, 440 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 804, 307, 440
The greatest common divisor of numbers 312, 804, 307, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 804, 307, 440 is 1.
1. What is the GCD of 312, 804, 307, 440?
GCD of given numbers 312, 804, 307, 440 is 1
2. How to calculate the greatest common divisor of 312, 804, 307, 440?
We can find the highest common divisor of 312, 804, 307, 440 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, 804, 307, 440 i.e 1.
3. How can I use the GCD of 312, 804, 307, 440Calculator?
Out the numbers 312, 804, 307, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.