Online GCD Calculator is useful to find the GCD of 385, 198, 189, 450 quickly. Get the easiest ways to solve the greatest common divisor of 385, 198, 189, 450 i.e 1 in different methods as follows.
Given Input numbers are 385, 198, 189, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
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
GCD of numbers is the greatest common divisor
So, the GCD (385, 198, 189, 450) = 1.
Given numbers are 385, 198, 189, 450
The list of prime factors of all numbers are
Prime factors of 385 are 5 x 7 x 11
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 385, 198, 189, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(385, 198) = 6930
GCD(385, 198) = ( 385 x 198 ) / 6930
= 385 / 198
= 385
Step2:
LCM(11, 189) = 2079
GCD(11, 189) = ( 11 x 189 ) / 2079
= 11 / 189
= 11
Step3:
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
= 1 / 450
= 1
So, Greatest Common Divisor of 385, 198, 189, 450 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 385, 198, 189, 450
The greatest common divisor of numbers 385, 198, 189, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 198, 189, 450 is 1.
1. What is the GCD of 385, 198, 189, 450?
GCD of given numbers 385, 198, 189, 450 is 1
2. How to calculate the greatest common divisor of 385, 198, 189, 450?
We can find the highest common divisor of 385, 198, 189, 450 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 385, 198, 189, 450 i.e 1.
3. How can I use the GCD of 385, 198, 189, 450Calculator?
Out the numbers 385, 198, 189, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.