Online GCD Calculator is useful to find the GCD of 180, 178, 211, 198 quickly. Get the easiest ways to solve the greatest common divisor of 180, 178, 211, 198 i.e 1 in different methods as follows.
Given Input numbers are 180, 178, 211, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
Divisors of 211 :
The positive integer divisors of 211 that completely divides 211 are.
1, 211
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 (180, 178, 211, 198) = 1.
Given numbers are 180, 178, 211, 198
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 178 are 2 x 89
Prime factors of 211 are 211
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 178, 211, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 178) = 16020
GCD(180, 178) = ( 180 x 178 ) / 16020
= 180 / 178
= 180
Step2:
LCM(2, 211) = 422
GCD(2, 211) = ( 2 x 211 ) / 422
= 2 / 211
= 2
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 180, 178, 211, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 178, 211, 198
The greatest common divisor of numbers 180, 178, 211, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 178, 211, 198 is 1.
1. What is the GCD of 180, 178, 211, 198?
GCD of given numbers 180, 178, 211, 198 is 1
2. How to calculate the greatest common divisor of 180, 178, 211, 198?
We can find the highest common divisor of 180, 178, 211, 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 180, 178, 211, 198 i.e 1.
3. How can I use the GCD of 180, 178, 211, 198Calculator?
Out the numbers 180, 178, 211, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.