Online GCD Calculator is useful to find the GCD of 297, 960, 748, 329 quickly. Get the easiest ways to solve the greatest common divisor of 297, 960, 748, 329 i.e 1 in different methods as follows.
Given Input numbers are 297, 960, 748, 329
In the factoring method, we have to find the divisors of all numbers
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
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
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 329 :
The positive integer divisors of 329 that completely divides 329 are.
1, 7, 47, 329
GCD of numbers is the greatest common divisor
So, the GCD (297, 960, 748, 329) = 1.
Given numbers are 297, 960, 748, 329
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 329 are 7 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 297, 960, 748, 329
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 960) = 95040
GCD(297, 960) = ( 297 x 960 ) / 95040
= 297 / 960
= 297
Step2:
LCM(3, 748) = 2244
GCD(3, 748) = ( 3 x 748 ) / 2244
= 3 / 748
= 3
Step3:
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
= 1 / 329
= 1
So, Greatest Common Divisor of 297, 960, 748, 329 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 960, 748, 329
The greatest common divisor of numbers 297, 960, 748, 329 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 960, 748, 329 is 1.
1. What is the GCD of 297, 960, 748, 329?
GCD of given numbers 297, 960, 748, 329 is 1
2. How to calculate the greatest common divisor of 297, 960, 748, 329?
We can find the highest common divisor of 297, 960, 748, 329 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 297, 960, 748, 329 i.e 1.
3. How can I use the GCD of 297, 960, 748, 329Calculator?
Out the numbers 297, 960, 748, 329 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.