Online GCD Calculator is useful to find the GCD of 864, 735, 318, 309 quickly. Get the easiest ways to solve the greatest common divisor of 864, 735, 318, 309 i.e 3 in different methods as follows.
Given Input numbers are 864, 735, 318, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (864, 735, 318, 309) = 3.
Given numbers are 864, 735, 318, 309
The list of prime factors of all numbers are
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 318 are 2 x 3 x 53
Prime factors of 309 are 3 x 103
The highest common occurrence is 31
Therefore, GCD of 864, 735, 318, 309 is 3.
Given numbers are 864, 735, 318, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 735) = 211680
GCD(864, 735) = ( 864 x 735 ) / 211680
= 864 / 735
= 864
Step2:
LCM(3, 318) = 318
GCD(3, 318) = ( 3 x 318 ) / 318
= 3 / 318
= 3
Step3:
LCM(3, 309) = 309
GCD(3, 309) = ( 3 x 309 ) / 309
= 3 / 309
= 3
So, Greatest Common Divisor of 864, 735, 318, 309 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 864, 735, 318, 309
The greatest common divisor of numbers 864, 735, 318, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 735, 318, 309 is 3.
1. What is the GCD of 864, 735, 318, 309?
GCD of given numbers 864, 735, 318, 309 is 3
2. How to calculate the greatest common divisor of 864, 735, 318, 309?
We can find the highest common divisor of 864, 735, 318, 309 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 864, 735, 318, 309 i.e 3.
3. How can I use the GCD of 864, 735, 318, 309Calculator?
Out the numbers 864, 735, 318, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.