Online GCD Calculator is useful to find the GCD of 228, 236, 564, 178 quickly. Get the easiest ways to solve the greatest common divisor of 228, 236, 564, 178 i.e 2 in different methods as follows.
Given Input numbers are 228, 236, 564, 178
In the factoring method, we have to find the divisors of all numbers
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 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
GCD of numbers is the greatest common divisor
So, the GCD (228, 236, 564, 178) = 2.
Given numbers are 228, 236, 564, 178
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 236 are 2 x 2 x 59
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 178 are 2 x 89
The highest common occurrence is 21
Therefore, GCD of 228, 236, 564, 178 is 2.
Given numbers are 228, 236, 564, 178
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 236) = 13452
GCD(228, 236) = ( 228 x 236 ) / 13452
= 228 / 236
= 228
Step2:
LCM(4, 564) = 564
GCD(4, 564) = ( 4 x 564 ) / 564
= 4 / 564
= 4
Step3:
LCM(4, 178) = 356
GCD(4, 178) = ( 4 x 178 ) / 356
= 4 / 178
= 4
So, Greatest Common Divisor of 228, 236, 564, 178 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 228, 236, 564, 178
The greatest common divisor of numbers 228, 236, 564, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 236, 564, 178 is 2.
1. What is the GCD of 228, 236, 564, 178?
GCD of given numbers 228, 236, 564, 178 is 2
2. How to calculate the greatest common divisor of 228, 236, 564, 178?
We can find the highest common divisor of 228, 236, 564, 178 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 228, 236, 564, 178 i.e 2.
3. How can I use the GCD of 228, 236, 564, 178Calculator?
Out the numbers 228, 236, 564, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.