Online GCD Calculator is useful to find the GCD of 198, 822, 522, 116 quickly. Get the easiest ways to solve the greatest common divisor of 198, 822, 522, 116 i.e 2 in different methods as follows.
Given Input numbers are 198, 822, 522, 116
In the factoring method, we have to find the divisors of all numbers
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 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
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 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (198, 822, 522, 116) = 2.
Given numbers are 198, 822, 522, 116
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 822 are 2 x 3 x 137
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 116 are 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 198, 822, 522, 116 is 2.
Given numbers are 198, 822, 522, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 822) = 27126
GCD(198, 822) = ( 198 x 822 ) / 27126
= 198 / 822
= 198
Step2:
LCM(6, 522) = 522
GCD(6, 522) = ( 6 x 522 ) / 522
= 6 / 522
= 6
Step3:
LCM(6, 116) = 348
GCD(6, 116) = ( 6 x 116 ) / 348
= 6 / 116
= 6
So, Greatest Common Divisor of 198, 822, 522, 116 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 822, 522, 116
The greatest common divisor of numbers 198, 822, 522, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 822, 522, 116 is 2.
1. What is the GCD of 198, 822, 522, 116?
GCD of given numbers 198, 822, 522, 116 is 2
2. How to calculate the greatest common divisor of 198, 822, 522, 116?
We can find the highest common divisor of 198, 822, 522, 116 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 198, 822, 522, 116 i.e 2.
3. How can I use the GCD of 198, 822, 522, 116Calculator?
Out the numbers 198, 822, 522, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.