Online GCD Calculator is useful to find the GCD of 328, 475, 696, 960 quickly. Get the easiest ways to solve the greatest common divisor of 328, 475, 696, 960 i.e 1 in different methods as follows.
Given Input numbers are 328, 475, 696, 960
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 475 :
The positive integer divisors of 475 that completely divides 475 are.
1, 5, 19, 25, 95, 475
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (328, 475, 696, 960) = 1.
Given numbers are 328, 475, 696, 960
The list of prime factors of all numbers are
Prime factors of 328 are 2 x 2 x 2 x 41
Prime factors of 475 are 5 x 5 x 19
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 328, 475, 696, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(328, 475) = 155800
GCD(328, 475) = ( 328 x 475 ) / 155800
= 328 / 475
= 328
Step2:
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
= 1 / 696
= 1
Step3:
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
= 1 / 960
= 1
So, Greatest Common Divisor of 328, 475, 696, 960 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 328, 475, 696, 960
The greatest common divisor of numbers 328, 475, 696, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 475, 696, 960 is 1.
1. What is the GCD of 328, 475, 696, 960?
GCD of given numbers 328, 475, 696, 960 is 1
2. How to calculate the greatest common divisor of 328, 475, 696, 960?
We can find the highest common divisor of 328, 475, 696, 960 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, 475, 696, 960 i.e 1.
3. How can I use the GCD of 328, 475, 696, 960Calculator?
Out the numbers 328, 475, 696, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.