Online GCD Calculator is useful to find the GCD of 418, 891, 198 quickly. Get the easiest ways to solve the greatest common divisor of 418, 891, 198 i.e 11 in different methods as follows.
Given Input numbers are 418, 891, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
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 (418, 891, 198) = 11.
Given numbers are 418, 891, 198
The list of prime factors of all numbers are
Prime factors of 418 are 2 x 11 x 19
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 111
Therefore, GCD of 418, 891, 198 is 11.
Given numbers are 418, 891, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(418, 891) = 33858
GCD(418, 891) = ( 418 x 891 ) / 33858
= 418 / 891
= 418
Step2:
LCM(11, 198) = 198
GCD(11, 198) = ( 11 x 198 ) / 198
= 11 / 198
= 11
So, Greatest Common Divisor of 418, 891, 198 is 11
Here are some samples of GCD of Numbers calculations.
Given numbers are 418, 891, 198
The greatest common divisor of numbers 418, 891, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 418, 891, 198 is 11.
1. What is the GCD of 418, 891, 198?
GCD of given numbers 418, 891, 198 is 11
2. How to calculate the greatest common divisor of 418, 891, 198?
We can find the highest common divisor of 418, 891, 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 418, 891, 198 i.e 11.
3. How can I use the GCD of 418, 891, 198Calculator?
Out the numbers 418, 891, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.