Online GCD Calculator is useful to find the GCD of 322, 264, 228, 216 quickly. Get the easiest ways to solve the greatest common divisor of 322, 264, 228, 216 i.e 2 in different methods as follows.
Given Input numbers are 322, 264, 228, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD of numbers is the greatest common divisor
So, the GCD (322, 264, 228, 216) = 2.
Given numbers are 322, 264, 228, 216
The list of prime factors of all numbers are
Prime factors of 322 are 2 x 7 x 23
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 322, 264, 228, 216 is 2.
Given numbers are 322, 264, 228, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(322, 264) = 42504
GCD(322, 264) = ( 322 x 264 ) / 42504
= 322 / 264
= 322
Step2:
LCM(2, 228) = 228
GCD(2, 228) = ( 2 x 228 ) / 228
= 2 / 228
= 2
Step3:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
So, Greatest Common Divisor of 322, 264, 228, 216 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 322, 264, 228, 216
The greatest common divisor of numbers 322, 264, 228, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 264, 228, 216 is 2.
1. What is the GCD of 322, 264, 228, 216?
GCD of given numbers 322, 264, 228, 216 is 2
2. How to calculate the greatest common divisor of 322, 264, 228, 216?
We can find the highest common divisor of 322, 264, 228, 216 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 322, 264, 228, 216 i.e 2.
3. How can I use the GCD of 322, 264, 228, 216Calculator?
Out the numbers 322, 264, 228, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.