Online GCD Calculator is useful to find the GCD of 228, 654, 990, 506 quickly. Get the easiest ways to solve the greatest common divisor of 228, 654, 990, 506 i.e 2 in different methods as follows.
Given Input numbers are 228, 654, 990, 506
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 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
GCD of numbers is the greatest common divisor
So, the GCD (228, 654, 990, 506) = 2.
Given numbers are 228, 654, 990, 506
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 654 are 2 x 3 x 109
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 506 are 2 x 11 x 23
The highest common occurrence is 21
Therefore, GCD of 228, 654, 990, 506 is 2.
Given numbers are 228, 654, 990, 506
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 654) = 24852
GCD(228, 654) = ( 228 x 654 ) / 24852
= 228 / 654
= 228
Step2:
LCM(6, 990) = 990
GCD(6, 990) = ( 6 x 990 ) / 990
= 6 / 990
= 6
Step3:
LCM(6, 506) = 1518
GCD(6, 506) = ( 6 x 506 ) / 1518
= 6 / 506
= 6
So, Greatest Common Divisor of 228, 654, 990, 506 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 228, 654, 990, 506
The greatest common divisor of numbers 228, 654, 990, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 654, 990, 506 is 2.
1. What is the GCD of 228, 654, 990, 506?
GCD of given numbers 228, 654, 990, 506 is 2
2. How to calculate the greatest common divisor of 228, 654, 990, 506?
We can find the highest common divisor of 228, 654, 990, 506 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, 654, 990, 506 i.e 2.
3. How can I use the GCD of 228, 654, 990, 506Calculator?
Out the numbers 228, 654, 990, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.