Online GCD Calculator is useful to find the GCD of 968, 319, 330 quickly. Get the easiest ways to solve the greatest common divisor of 968, 319, 330 i.e 11 in different methods as follows.
Given Input numbers are 968, 319, 330
In the factoring method, we have to find the divisors of all numbers
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 319 :
The positive integer divisors of 319 that completely divides 319 are.
1, 11, 29, 319
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 (968, 319, 330) = 11.
Given numbers are 968, 319, 330
The list of prime factors of all numbers are
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 319 are 11 x 29
Prime factors of 330 are 2 x 3 x 5 x 11
The highest common occurrence is 111
Therefore, GCD of 968, 319, 330 is 11.
Given numbers are 968, 319, 330
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(968, 319) = 28072
GCD(968, 319) = ( 968 x 319 ) / 28072
= 968 / 319
= 968
Step2:
LCM(11, 330) = 330
GCD(11, 330) = ( 11 x 330 ) / 330
= 11 / 330
= 11
So, Greatest Common Divisor of 968, 319, 330 is 11
Here are some samples of GCD of Numbers calculations.
Given numbers are 968, 319, 330
The greatest common divisor of numbers 968, 319, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 319, 330 is 11.
1. What is the GCD of 968, 319, 330?
GCD of given numbers 968, 319, 330 is 11
2. How to calculate the greatest common divisor of 968, 319, 330?
We can find the highest common divisor of 968, 319, 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 968, 319, 330 i.e 11.
3. How can I use the GCD of 968, 319, 330Calculator?
Out the numbers 968, 319, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.