Online GCD Calculator is useful to find the GCD of 522, 198, 306 quickly. Get the easiest ways to solve the greatest common divisor of 522, 198, 306 i.e 18 in different methods as follows.
Given Input numbers are 522, 198, 306
In the factoring method, we have to find the divisors of all numbers
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
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 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
GCD of numbers is the greatest common divisor
So, the GCD (522, 198, 306) = 18.
Given numbers are 522, 198, 306
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 306 are 2 x 3 x 3 x 17
The highest common occurrence is 21 x 32
Therefore, GCD of 522, 198, 306 is 18.
Given numbers are 522, 198, 306
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 198) = 5742
GCD(522, 198) = ( 522 x 198 ) / 5742
= 522 / 198
= 522
Step2:
LCM(18, 306) = 306
GCD(18, 306) = ( 18 x 306 ) / 306
= 18 / 306
= 18
So, Greatest Common Divisor of 522, 198, 306 is 18
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 198, 306
The greatest common divisor of numbers 522, 198, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 198, 306 is 18.
1. What is the GCD of 522, 198, 306?
GCD of given numbers 522, 198, 306 is 18
2. How to calculate the greatest common divisor of 522, 198, 306?
We can find the highest common divisor of 522, 198, 306 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 522, 198, 306 i.e 18.
3. How can I use the GCD of 522, 198, 306Calculator?
Out the numbers 522, 198, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.