Online GCD Calculator is useful to find the GCD of 518, 738, 198, 810 quickly. Get the easiest ways to solve the greatest common divisor of 518, 738, 198, 810 i.e 2 in different methods as follows.
Given Input numbers are 518, 738, 198, 810
In the factoring method, we have to find the divisors of all numbers
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
GCD of numbers is the greatest common divisor
So, the GCD (518, 738, 198, 810) = 2.
Given numbers are 518, 738, 198, 810
The list of prime factors of all numbers are
Prime factors of 518 are 2 x 7 x 37
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 518, 738, 198, 810 is 2.
Given numbers are 518, 738, 198, 810
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(518, 738) = 191142
GCD(518, 738) = ( 518 x 738 ) / 191142
= 518 / 738
= 518
Step2:
LCM(2, 198) = 198
GCD(2, 198) = ( 2 x 198 ) / 198
= 2 / 198
= 2
Step3:
LCM(2, 810) = 810
GCD(2, 810) = ( 2 x 810 ) / 810
= 2 / 810
= 2
So, Greatest Common Divisor of 518, 738, 198, 810 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 518, 738, 198, 810
The greatest common divisor of numbers 518, 738, 198, 810 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 738, 198, 810 is 2.
1. What is the GCD of 518, 738, 198, 810?
GCD of given numbers 518, 738, 198, 810 is 2
2. How to calculate the greatest common divisor of 518, 738, 198, 810?
We can find the highest common divisor of 518, 738, 198, 810 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 518, 738, 198, 810 i.e 2.
3. How can I use the GCD of 518, 738, 198, 810Calculator?
Out the numbers 518, 738, 198, 810 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.