Online GCD Calculator is useful to find the GCD of 320, 332, 176, 108 quickly. Get the easiest ways to solve the greatest common divisor of 320, 332, 176, 108 i.e 4 in different methods as follows.
Given Input numbers are 320, 332, 176, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (320, 332, 176, 108) = 4.
Given numbers are 320, 332, 176, 108
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 332 are 2 x 2 x 83
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 320, 332, 176, 108 is 4.
Given numbers are 320, 332, 176, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 332) = 26560
GCD(320, 332) = ( 320 x 332 ) / 26560
= 320 / 332
= 320
Step2:
LCM(4, 176) = 176
GCD(4, 176) = ( 4 x 176 ) / 176
= 4 / 176
= 4
Step3:
LCM(4, 108) = 108
GCD(4, 108) = ( 4 x 108 ) / 108
= 4 / 108
= 4
So, Greatest Common Divisor of 320, 332, 176, 108 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 320, 332, 176, 108
The greatest common divisor of numbers 320, 332, 176, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 332, 176, 108 is 4.
1. What is the GCD of 320, 332, 176, 108?
GCD of given numbers 320, 332, 176, 108 is 4
2. How to calculate the greatest common divisor of 320, 332, 176, 108?
We can find the highest common divisor of 320, 332, 176, 108 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 320, 332, 176, 108 i.e 4.
3. How can I use the GCD of 320, 332, 176, 108Calculator?
Out the numbers 320, 332, 176, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.