Online GCD Calculator is useful to find the GCD of 321, 444, 897, 864 quickly. Get the easiest ways to solve the greatest common divisor of 321, 444, 897, 864 i.e 3 in different methods as follows.
Given Input numbers are 321, 444, 897, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
GCD of numbers is the greatest common divisor
So, the GCD (321, 444, 897, 864) = 3.
Given numbers are 321, 444, 897, 864
The list of prime factors of all numbers are
Prime factors of 321 are 3 x 107
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 897 are 3 x 13 x 23
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 321, 444, 897, 864 is 3.
Given numbers are 321, 444, 897, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(321, 444) = 47508
GCD(321, 444) = ( 321 x 444 ) / 47508
= 321 / 444
= 321
Step2:
LCM(3, 897) = 897
GCD(3, 897) = ( 3 x 897 ) / 897
= 3 / 897
= 3
Step3:
LCM(3, 864) = 864
GCD(3, 864) = ( 3 x 864 ) / 864
= 3 / 864
= 3
So, Greatest Common Divisor of 321, 444, 897, 864 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 321, 444, 897, 864
The greatest common divisor of numbers 321, 444, 897, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 444, 897, 864 is 3.
1. What is the GCD of 321, 444, 897, 864?
GCD of given numbers 321, 444, 897, 864 is 3
2. How to calculate the greatest common divisor of 321, 444, 897, 864?
We can find the highest common divisor of 321, 444, 897, 864 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 321, 444, 897, 864 i.e 3.
3. How can I use the GCD of 321, 444, 897, 864Calculator?
Out the numbers 321, 444, 897, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.