Online GCD Calculator is useful to find the GCD of 360, 183, 198 quickly. Get the easiest ways to solve the greatest common divisor of 360, 183, 198 i.e 3 in different methods as follows.
Given Input numbers are 360, 183, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 183 :
The positive integer divisors of 183 that completely divides 183 are.
1, 3, 61, 183
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 (360, 183, 198) = 3.
Given numbers are 360, 183, 198
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 183 are 3 x 61
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 360, 183, 198 is 3.
Given numbers are 360, 183, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 183) = 21960
GCD(360, 183) = ( 360 x 183 ) / 21960
= 360 / 183
= 360
Step2:
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
= 3 / 198
= 3
So, Greatest Common Divisor of 360, 183, 198 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 183, 198
The greatest common divisor of numbers 360, 183, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 183, 198 is 3.
1. What is the GCD of 360, 183, 198?
GCD of given numbers 360, 183, 198 is 3
2. How to calculate the greatest common divisor of 360, 183, 198?
We can find the highest common divisor of 360, 183, 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 360, 183, 198 i.e 3.
3. How can I use the GCD of 360, 183, 198Calculator?
Out the numbers 360, 183, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.