Online GCD Calculator is useful to find the GCD of 324, 441, 960, 682 quickly. Get the easiest ways to solve the greatest common divisor of 324, 441, 960, 682 i.e 1 in different methods as follows.
Given Input numbers are 324, 441, 960, 682
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 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
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 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (324, 441, 960, 682) = 1.
Given numbers are 324, 441, 960, 682
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 441 are 3 x 3 x 7 x 7
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 682 are 2 x 11 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 324, 441, 960, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 441) = 15876
GCD(324, 441) = ( 324 x 441 ) / 15876
= 324 / 441
= 324
Step2:
LCM(9, 960) = 2880
GCD(9, 960) = ( 9 x 960 ) / 2880
= 9 / 960
= 9
Step3:
LCM(3, 682) = 2046
GCD(3, 682) = ( 3 x 682 ) / 2046
= 3 / 682
= 3
So, Greatest Common Divisor of 324, 441, 960, 682 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 441, 960, 682
The greatest common divisor of numbers 324, 441, 960, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 441, 960, 682 is 1.
1. What is the GCD of 324, 441, 960, 682?
GCD of given numbers 324, 441, 960, 682 is 1
2. How to calculate the greatest common divisor of 324, 441, 960, 682?
We can find the highest common divisor of 324, 441, 960, 682 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, 441, 960, 682 i.e 1.
3. How can I use the GCD of 324, 441, 960, 682Calculator?
Out the numbers 324, 441, 960, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.