Online GCD Calculator is useful to find the GCD of 954, 234, 330 quickly. Get the easiest ways to solve the greatest common divisor of 954, 234, 330 i.e 6 in different methods as follows.
Given Input numbers are 954, 234, 330
In the factoring method, we have to find the divisors of all numbers
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
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
GCD of numbers is the greatest common divisor
So, the GCD (954, 234, 330) = 6.
Given numbers are 954, 234, 330
The list of prime factors of all numbers are
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 330 are 2 x 3 x 5 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 954, 234, 330 is 6.
Given numbers are 954, 234, 330
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(954, 234) = 12402
GCD(954, 234) = ( 954 x 234 ) / 12402
= 954 / 234
= 954
Step2:
LCM(18, 330) = 990
GCD(18, 330) = ( 18 x 330 ) / 990
= 18 / 330
= 18
So, Greatest Common Divisor of 954, 234, 330 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 954, 234, 330
The greatest common divisor of numbers 954, 234, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 234, 330 is 6.
1. What is the GCD of 954, 234, 330?
GCD of given numbers 954, 234, 330 is 6
2. How to calculate the greatest common divisor of 954, 234, 330?
We can find the highest common divisor of 954, 234, 330 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 954, 234, 330 i.e 6.
3. How can I use the GCD of 954, 234, 330Calculator?
Out the numbers 954, 234, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.