Online GCD Calculator is useful to find the GCD of 396, 506, 198, 854 quickly. Get the easiest ways to solve the greatest common divisor of 396, 506, 198, 854 i.e 2 in different methods as follows.
Given Input numbers are 396, 506, 198, 854
In the factoring method, we have to find the divisors of all numbers
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
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 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
GCD of numbers is the greatest common divisor
So, the GCD (396, 506, 198, 854) = 2.
Given numbers are 396, 506, 198, 854
The list of prime factors of all numbers are
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 506 are 2 x 11 x 23
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 854 are 2 x 7 x 61
The highest common occurrence is 21
Therefore, GCD of 396, 506, 198, 854 is 2.
Given numbers are 396, 506, 198, 854
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(396, 506) = 9108
GCD(396, 506) = ( 396 x 506 ) / 9108
= 396 / 506
= 396
Step2:
LCM(22, 198) = 198
GCD(22, 198) = ( 22 x 198 ) / 198
= 22 / 198
= 22
Step3:
LCM(22, 854) = 9394
GCD(22, 854) = ( 22 x 854 ) / 9394
= 22 / 854
= 22
So, Greatest Common Divisor of 396, 506, 198, 854 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 396, 506, 198, 854
The greatest common divisor of numbers 396, 506, 198, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 506, 198, 854 is 2.
1. What is the GCD of 396, 506, 198, 854?
GCD of given numbers 396, 506, 198, 854 is 2
2. How to calculate the greatest common divisor of 396, 506, 198, 854?
We can find the highest common divisor of 396, 506, 198, 854 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 396, 506, 198, 854 i.e 2.
3. How can I use the GCD of 396, 506, 198, 854Calculator?
Out the numbers 396, 506, 198, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.