Online GCD Calculator is useful to find the GCD of 330, 728, 552, 644 quickly. Get the easiest ways to solve the greatest common divisor of 330, 728, 552, 644 i.e 2 in different methods as follows.
Given Input numbers are 330, 728, 552, 644
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 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
GCD of numbers is the greatest common divisor
So, the GCD (330, 728, 552, 644) = 2.
Given numbers are 330, 728, 552, 644
The list of prime factors of all numbers are
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 644 are 2 x 2 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 330, 728, 552, 644 is 2.
Given numbers are 330, 728, 552, 644
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(330, 728) = 120120
GCD(330, 728) = ( 330 x 728 ) / 120120
= 330 / 728
= 330
Step2:
LCM(2, 552) = 552
GCD(2, 552) = ( 2 x 552 ) / 552
= 2 / 552
= 2
Step3:
LCM(2, 644) = 644
GCD(2, 644) = ( 2 x 644 ) / 644
= 2 / 644
= 2
So, Greatest Common Divisor of 330, 728, 552, 644 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 330, 728, 552, 644
The greatest common divisor of numbers 330, 728, 552, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 728, 552, 644 is 2.
1. What is the GCD of 330, 728, 552, 644?
GCD of given numbers 330, 728, 552, 644 is 2
2. How to calculate the greatest common divisor of 330, 728, 552, 644?
We can find the highest common divisor of 330, 728, 552, 644 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, 728, 552, 644 i.e 2.
3. How can I use the GCD of 330, 728, 552, 644Calculator?
Out the numbers 330, 728, 552, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.