Online GCD Calculator is useful to find the GCD of 330, 944, 960, 822 quickly. Get the easiest ways to solve the greatest common divisor of 330, 944, 960, 822 i.e 2 in different methods as follows.
Given Input numbers are 330, 944, 960, 822
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 944 :
The positive integer divisors of 944 that completely divides 944 are.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (330, 944, 960, 822) = 2.
Given numbers are 330, 944, 960, 822
The list of prime factors of all numbers are
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 944 are 2 x 2 x 2 x 2 x 59
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 330, 944, 960, 822 is 2.
Given numbers are 330, 944, 960, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(330, 944) = 155760
GCD(330, 944) = ( 330 x 944 ) / 155760
= 330 / 944
= 330
Step2:
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
= 2 / 960
= 2
Step3:
LCM(2, 822) = 822
GCD(2, 822) = ( 2 x 822 ) / 822
= 2 / 822
= 2
So, Greatest Common Divisor of 330, 944, 960, 822 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 330, 944, 960, 822
The greatest common divisor of numbers 330, 944, 960, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 944, 960, 822 is 2.
1. What is the GCD of 330, 944, 960, 822?
GCD of given numbers 330, 944, 960, 822 is 2
2. How to calculate the greatest common divisor of 330, 944, 960, 822?
We can find the highest common divisor of 330, 944, 960, 822 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, 944, 960, 822 i.e 2.
3. How can I use the GCD of 330, 944, 960, 822Calculator?
Out the numbers 330, 944, 960, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.