Online GCD Calculator is useful to find the GCD of 506, 130, 452, 228 quickly. Get the easiest ways to solve the greatest common divisor of 506, 130, 452, 228 i.e 2 in different methods as follows.
Given Input numbers are 506, 130, 452, 228
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
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 (506, 130, 452, 228) = 2.
Given numbers are 506, 130, 452, 228
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 130 are 2 x 5 x 13
Prime factors of 452 are 2 x 2 x 113
Prime factors of 228 are 2 x 2 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 506, 130, 452, 228 is 2.
Given numbers are 506, 130, 452, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 130) = 32890
GCD(506, 130) = ( 506 x 130 ) / 32890
= 506 / 130
= 506
Step2:
LCM(2, 452) = 452
GCD(2, 452) = ( 2 x 452 ) / 452
= 2 / 452
= 2
Step3:
LCM(2, 228) = 228
GCD(2, 228) = ( 2 x 228 ) / 228
= 2 / 228
= 2
So, Greatest Common Divisor of 506, 130, 452, 228 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 506, 130, 452, 228
The greatest common divisor of numbers 506, 130, 452, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 130, 452, 228 is 2.
1. What is the GCD of 506, 130, 452, 228?
GCD of given numbers 506, 130, 452, 228 is 2
2. How to calculate the greatest common divisor of 506, 130, 452, 228?
We can find the highest common divisor of 506, 130, 452, 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 506, 130, 452, 228 i.e 2.
3. How can I use the GCD of 506, 130, 452, 228Calculator?
Out the numbers 506, 130, 452, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.