Online GCD Calculator is useful to find the GCD of 324, 960, 349, 468 quickly. Get the easiest ways to solve the greatest common divisor of 324, 960, 349, 468 i.e 1 in different methods as follows.
Given Input numbers are 324, 960, 349, 468
In the factoring method, we have to find the divisors of all numbers
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
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 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
GCD of numbers is the greatest common divisor
So, the GCD (324, 960, 349, 468) = 1.
Given numbers are 324, 960, 349, 468
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 349 are 349
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 324, 960, 349, 468
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 960) = 25920
GCD(324, 960) = ( 324 x 960 ) / 25920
= 324 / 960
= 324
Step2:
LCM(12, 349) = 4188
GCD(12, 349) = ( 12 x 349 ) / 4188
= 12 / 349
= 12
Step3:
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
= 1 / 468
= 1
So, Greatest Common Divisor of 324, 960, 349, 468 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 960, 349, 468
The greatest common divisor of numbers 324, 960, 349, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 960, 349, 468 is 1.
1. What is the GCD of 324, 960, 349, 468?
GCD of given numbers 324, 960, 349, 468 is 1
2. How to calculate the greatest common divisor of 324, 960, 349, 468?
We can find the highest common divisor of 324, 960, 349, 468 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 324, 960, 349, 468 i.e 1.
3. How can I use the GCD of 324, 960, 349, 468Calculator?
Out the numbers 324, 960, 349, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.