Online GCD Calculator is useful to find the GCD of 660, 130, 231, 198 quickly. Get the easiest ways to solve the greatest common divisor of 660, 130, 231, 198 i.e 1 in different methods as follows.
Given Input numbers are 660, 130, 231, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
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 (660, 130, 231, 198) = 1.
Given numbers are 660, 130, 231, 198
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 130 are 2 x 5 x 13
Prime factors of 231 are 3 x 7 x 11
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 660, 130, 231, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 130) = 8580
GCD(660, 130) = ( 660 x 130 ) / 8580
= 660 / 130
= 660
Step2:
LCM(10, 231) = 2310
GCD(10, 231) = ( 10 x 231 ) / 2310
= 10 / 231
= 10
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 660, 130, 231, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 130, 231, 198
The greatest common divisor of numbers 660, 130, 231, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 130, 231, 198 is 1.
1. What is the GCD of 660, 130, 231, 198?
GCD of given numbers 660, 130, 231, 198 is 1
2. How to calculate the greatest common divisor of 660, 130, 231, 198?
We can find the highest common divisor of 660, 130, 231, 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 660, 130, 231, 198 i.e 1.
3. How can I use the GCD of 660, 130, 231, 198Calculator?
Out the numbers 660, 130, 231, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.