Online GCD Calculator is useful to find the GCD of 330, 924, 294, 324 quickly. Get the easiest ways to solve the greatest common divisor of 330, 924, 294, 324 i.e 6 in different methods as follows.
Given Input numbers are 330, 924, 294, 324
In the factoring method, we have to find the divisors of all numbers
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 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (330, 924, 294, 324) = 6.
Given numbers are 330, 924, 294, 324
The list of prime factors of all numbers are
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 330, 924, 294, 324 is 6.
Given numbers are 330, 924, 294, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(330, 924) = 4620
GCD(330, 924) = ( 330 x 924 ) / 4620
= 330 / 924
= 330
Step2:
LCM(66, 294) = 3234
GCD(66, 294) = ( 66 x 294 ) / 3234
= 66 / 294
= 66
Step3:
LCM(6, 324) = 324
GCD(6, 324) = ( 6 x 324 ) / 324
= 6 / 324
= 6
So, Greatest Common Divisor of 330, 924, 294, 324 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 330, 924, 294, 324
The greatest common divisor of numbers 330, 924, 294, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 924, 294, 324 is 6.
1. What is the GCD of 330, 924, 294, 324?
GCD of given numbers 330, 924, 294, 324 is 6
2. How to calculate the greatest common divisor of 330, 924, 294, 324?
We can find the highest common divisor of 330, 924, 294, 324 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 330, 924, 294, 324 i.e 6.
3. How can I use the GCD of 330, 924, 294, 324Calculator?
Out the numbers 330, 924, 294, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.