Online GCD Calculator is useful to find the GCD of 816, 765, 312, 304 quickly. Get the easiest ways to solve the greatest common divisor of 816, 765, 312, 304 i.e 1 in different methods as follows.
Given Input numbers are 816, 765, 312, 304
In the factoring method, we have to find the divisors of all numbers
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
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 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
GCD of numbers is the greatest common divisor
So, the GCD (816, 765, 312, 304) = 1.
Given numbers are 816, 765, 312, 304
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 816, 765, 312, 304
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 765) = 12240
GCD(816, 765) = ( 816 x 765 ) / 12240
= 816 / 765
= 816
Step2:
LCM(51, 312) = 5304
GCD(51, 312) = ( 51 x 312 ) / 5304
= 51 / 312
= 51
Step3:
LCM(3, 304) = 912
GCD(3, 304) = ( 3 x 304 ) / 912
= 3 / 304
= 3
So, Greatest Common Divisor of 816, 765, 312, 304 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 765, 312, 304
The greatest common divisor of numbers 816, 765, 312, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 765, 312, 304 is 1.
1. What is the GCD of 816, 765, 312, 304?
GCD of given numbers 816, 765, 312, 304 is 1
2. How to calculate the greatest common divisor of 816, 765, 312, 304?
We can find the highest common divisor of 816, 765, 312, 304 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 816, 765, 312, 304 i.e 1.
3. How can I use the GCD of 816, 765, 312, 304Calculator?
Out the numbers 816, 765, 312, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.