Online GCD Calculator is useful to find the GCD of 516, 336, 198 quickly. Get the easiest ways to solve the greatest common divisor of 516, 336, 198 i.e 6 in different methods as follows.
Given Input numbers are 516, 336, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
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
GCD of numbers is the greatest common divisor
So, the GCD (516, 336, 198) = 6.
Given numbers are 516, 336, 198
The list of prime factors of all numbers are
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 516, 336, 198 is 6.
Given numbers are 516, 336, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(516, 336) = 14448
GCD(516, 336) = ( 516 x 336 ) / 14448
= 516 / 336
= 516
Step2:
LCM(12, 198) = 396
GCD(12, 198) = ( 12 x 198 ) / 396
= 12 / 198
= 12
So, Greatest Common Divisor of 516, 336, 198 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 516, 336, 198
The greatest common divisor of numbers 516, 336, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 336, 198 is 6.
1. What is the GCD of 516, 336, 198?
GCD of given numbers 516, 336, 198 is 6
2. How to calculate the greatest common divisor of 516, 336, 198?
We can find the highest common divisor of 516, 336, 198 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 516, 336, 198 i.e 6.
3. How can I use the GCD of 516, 336, 198Calculator?
Out the numbers 516, 336, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.