Online GCD Calculator is useful to find the GCD of 381, 198, 423 quickly. Get the easiest ways to solve the greatest common divisor of 381, 198, 423 i.e 3 in different methods as follows.
Given Input numbers are 381, 198, 423
In the factoring method, we have to find the divisors of all numbers
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
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 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (381, 198, 423) = 3.
Given numbers are 381, 198, 423
The list of prime factors of all numbers are
Prime factors of 381 are 3 x 127
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 423 are 3 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 381, 198, 423 is 3.
Given numbers are 381, 198, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(381, 198) = 25146
GCD(381, 198) = ( 381 x 198 ) / 25146
= 381 / 198
= 381
Step2:
LCM(3, 423) = 423
GCD(3, 423) = ( 3 x 423 ) / 423
= 3 / 423
= 3
So, Greatest Common Divisor of 381, 198, 423 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 381, 198, 423
The greatest common divisor of numbers 381, 198, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 198, 423 is 3.
1. What is the GCD of 381, 198, 423?
GCD of given numbers 381, 198, 423 is 3
2. How to calculate the greatest common divisor of 381, 198, 423?
We can find the highest common divisor of 381, 198, 423 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 381, 198, 423 i.e 3.
3. How can I use the GCD of 381, 198, 423Calculator?
Out the numbers 381, 198, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.