Online GCD Calculator is useful to find the GCD of 328, 592, 456, 736 quickly. Get the easiest ways to solve the greatest common divisor of 328, 592, 456, 736 i.e 8 in different methods as follows.
Given Input numbers are 328, 592, 456, 736
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 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
GCD of numbers is the greatest common divisor
So, the GCD (328, 592, 456, 736) = 8.
Given numbers are 328, 592, 456, 736
The list of prime factors of all numbers are
Prime factors of 328 are 2 x 2 x 2 x 41
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The highest common occurrence is 23
Therefore, GCD of 328, 592, 456, 736 is 8.
Given numbers are 328, 592, 456, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(328, 592) = 24272
GCD(328, 592) = ( 328 x 592 ) / 24272
= 328 / 592
= 328
Step2:
LCM(8, 456) = 456
GCD(8, 456) = ( 8 x 456 ) / 456
= 8 / 456
= 8
Step3:
LCM(8, 736) = 736
GCD(8, 736) = ( 8 x 736 ) / 736
= 8 / 736
= 8
So, Greatest Common Divisor of 328, 592, 456, 736 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 328, 592, 456, 736
The greatest common divisor of numbers 328, 592, 456, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 592, 456, 736 is 8.
1. What is the GCD of 328, 592, 456, 736?
GCD of given numbers 328, 592, 456, 736 is 8
2. How to calculate the greatest common divisor of 328, 592, 456, 736?
We can find the highest common divisor of 328, 592, 456, 736 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, 592, 456, 736 i.e 8.
3. How can I use the GCD of 328, 592, 456, 736Calculator?
Out the numbers 328, 592, 456, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.