Online GCD Calculator is useful to find the GCD of 450, 666, 388, 188 quickly. Get the easiest ways to solve the greatest common divisor of 450, 666, 388, 188 i.e 2 in different methods as follows.
Given Input numbers are 450, 666, 388, 188
In the factoring method, we have to find the divisors of all numbers
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 666 :
The positive integer divisors of 666 that completely divides 666 are.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
GCD of numbers is the greatest common divisor
So, the GCD (450, 666, 388, 188) = 2.
Given numbers are 450, 666, 388, 188
The list of prime factors of all numbers are
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 666 are 2 x 3 x 3 x 37
Prime factors of 388 are 2 x 2 x 97
Prime factors of 188 are 2 x 2 x 47
The highest common occurrence is 21
Therefore, GCD of 450, 666, 388, 188 is 2.
Given numbers are 450, 666, 388, 188
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 666) = 16650
GCD(450, 666) = ( 450 x 666 ) / 16650
= 450 / 666
= 450
Step2:
LCM(18, 388) = 3492
GCD(18, 388) = ( 18 x 388 ) / 3492
= 18 / 388
= 18
Step3:
LCM(2, 188) = 188
GCD(2, 188) = ( 2 x 188 ) / 188
= 2 / 188
= 2
So, Greatest Common Divisor of 450, 666, 388, 188 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 666, 388, 188
The greatest common divisor of numbers 450, 666, 388, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 666, 388, 188 is 2.
1. What is the GCD of 450, 666, 388, 188?
GCD of given numbers 450, 666, 388, 188 is 2
2. How to calculate the greatest common divisor of 450, 666, 388, 188?
We can find the highest common divisor of 450, 666, 388, 188 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 450, 666, 388, 188 i.e 2.
3. How can I use the GCD of 450, 666, 388, 188Calculator?
Out the numbers 450, 666, 388, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.