Online GCD Calculator is useful to find the GCD of 333, 330, 704, 288 quickly. Get the easiest ways to solve the greatest common divisor of 333, 330, 704, 288 i.e 1 in different methods as follows.
Given Input numbers are 333, 330, 704, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 333 :
The positive integer divisors of 333 that completely divides 333 are.
1, 3, 9, 37, 111, 333
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (333, 330, 704, 288) = 1.
Given numbers are 333, 330, 704, 288
The list of prime factors of all numbers are
Prime factors of 333 are 3 x 3 x 37
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 333, 330, 704, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(333, 330) = 36630
GCD(333, 330) = ( 333 x 330 ) / 36630
= 333 / 330
= 333
Step2:
LCM(3, 704) = 2112
GCD(3, 704) = ( 3 x 704 ) / 2112
= 3 / 704
= 3
Step3:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 333, 330, 704, 288 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 333, 330, 704, 288
The greatest common divisor of numbers 333, 330, 704, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 333, 330, 704, 288 is 1.
1. What is the GCD of 333, 330, 704, 288?
GCD of given numbers 333, 330, 704, 288 is 1
2. How to calculate the greatest common divisor of 333, 330, 704, 288?
We can find the highest common divisor of 333, 330, 704, 288 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 333, 330, 704, 288 i.e 1.
3. How can I use the GCD of 333, 330, 704, 288Calculator?
Out the numbers 333, 330, 704, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.