Online GCD Calculator is useful to find the GCD of 225, 198, 361, 144 quickly. Get the easiest ways to solve the greatest common divisor of 225, 198, 361, 144 i.e 1 in different methods as follows.
Given Input numbers are 225, 198, 361, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
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 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (225, 198, 361, 144) = 1.
Given numbers are 225, 198, 361, 144
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 361 are 19 x 19
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 225, 198, 361, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 198) = 4950
GCD(225, 198) = ( 225 x 198 ) / 4950
= 225 / 198
= 225
Step2:
LCM(9, 361) = 3249
GCD(9, 361) = ( 9 x 361 ) / 3249
= 9 / 361
= 9
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 225, 198, 361, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 198, 361, 144
The greatest common divisor of numbers 225, 198, 361, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 198, 361, 144 is 1.
1. What is the GCD of 225, 198, 361, 144?
GCD of given numbers 225, 198, 361, 144 is 1
2. How to calculate the greatest common divisor of 225, 198, 361, 144?
We can find the highest common divisor of 225, 198, 361, 144 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 225, 198, 361, 144 i.e 1.
3. How can I use the GCD of 225, 198, 361, 144Calculator?
Out the numbers 225, 198, 361, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.