Online GCD Calculator is useful to find the GCD of 328, 912, 576, 492 quickly. Get the easiest ways to solve the greatest common divisor of 328, 912, 576, 492 i.e 4 in different methods as follows.
Given Input numbers are 328, 912, 576, 492
In the factoring method, we have to find the divisors of all numbers
Divisors of 328 :
The positive integer divisors of 328 that completely divides 328 are.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (328, 912, 576, 492) = 4.
Given numbers are 328, 912, 576, 492
The list of prime factors of all numbers are
Prime factors of 328 are 2 x 2 x 2 x 41
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 492 are 2 x 2 x 3 x 41
The highest common occurrence is 22
Therefore, GCD of 328, 912, 576, 492 is 4.
Given numbers are 328, 912, 576, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(328, 912) = 37392
GCD(328, 912) = ( 328 x 912 ) / 37392
= 328 / 912
= 328
Step2:
LCM(8, 576) = 576
GCD(8, 576) = ( 8 x 576 ) / 576
= 8 / 576
= 8
Step3:
LCM(8, 492) = 984
GCD(8, 492) = ( 8 x 492 ) / 984
= 8 / 492
= 8
So, Greatest Common Divisor of 328, 912, 576, 492 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 328, 912, 576, 492
The greatest common divisor of numbers 328, 912, 576, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 912, 576, 492 is 4.
1. What is the GCD of 328, 912, 576, 492?
GCD of given numbers 328, 912, 576, 492 is 4
2. How to calculate the greatest common divisor of 328, 912, 576, 492?
We can find the highest common divisor of 328, 912, 576, 492 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 328, 912, 576, 492 i.e 4.
3. How can I use the GCD of 328, 912, 576, 492Calculator?
Out the numbers 328, 912, 576, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.