Online GCD Calculator is useful to find the GCD of 966, 364, 456, 228 quickly. Get the easiest ways to solve the greatest common divisor of 966, 364, 456, 228 i.e 2 in different methods as follows.
Given Input numbers are 966, 364, 456, 228
In the factoring method, we have to find the divisors of all numbers
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
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
GCD of numbers is the greatest common divisor
So, the GCD (966, 364, 456, 228) = 2.
Given numbers are 966, 364, 456, 228
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 228 are 2 x 2 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 966, 364, 456, 228 is 2.
Given numbers are 966, 364, 456, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 364) = 25116
GCD(966, 364) = ( 966 x 364 ) / 25116
= 966 / 364
= 966
Step2:
LCM(14, 456) = 3192
GCD(14, 456) = ( 14 x 456 ) / 3192
= 14 / 456
= 14
Step3:
LCM(2, 228) = 228
GCD(2, 228) = ( 2 x 228 ) / 228
= 2 / 228
= 2
So, Greatest Common Divisor of 966, 364, 456, 228 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 364, 456, 228
The greatest common divisor of numbers 966, 364, 456, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 364, 456, 228 is 2.
1. What is the GCD of 966, 364, 456, 228?
GCD of given numbers 966, 364, 456, 228 is 2
2. How to calculate the greatest common divisor of 966, 364, 456, 228?
We can find the highest common divisor of 966, 364, 456, 228 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 966, 364, 456, 228 i.e 2.
3. How can I use the GCD of 966, 364, 456, 228Calculator?
Out the numbers 966, 364, 456, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.