Online GCD Calculator is useful to find the GCD of 506, 518, 306, 380 quickly. Get the easiest ways to solve the greatest common divisor of 506, 518, 306, 380 i.e 2 in different methods as follows.
Given Input numbers are 506, 518, 306, 380
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 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (506, 518, 306, 380) = 2.
Given numbers are 506, 518, 306, 380
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 518 are 2 x 7 x 37
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 506, 518, 306, 380 is 2.
Given numbers are 506, 518, 306, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 518) = 131054
GCD(506, 518) = ( 506 x 518 ) / 131054
= 506 / 518
= 506
Step2:
LCM(2, 306) = 306
GCD(2, 306) = ( 2 x 306 ) / 306
= 2 / 306
= 2
Step3:
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
= 2 / 380
= 2
So, Greatest Common Divisor of 506, 518, 306, 380 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 506, 518, 306, 380
The greatest common divisor of numbers 506, 518, 306, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 518, 306, 380 is 2.
1. What is the GCD of 506, 518, 306, 380?
GCD of given numbers 506, 518, 306, 380 is 2
2. How to calculate the greatest common divisor of 506, 518, 306, 380?
We can find the highest common divisor of 506, 518, 306, 380 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, 518, 306, 380 i.e 2.
3. How can I use the GCD of 506, 518, 306, 380Calculator?
Out the numbers 506, 518, 306, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.