Online GCD Calculator is useful to find the GCD of 390, 189, 131, 132 quickly. Get the easiest ways to solve the greatest common divisor of 390, 189, 131, 132 i.e 1 in different methods as follows.
Given Input numbers are 390, 189, 131, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (390, 189, 131, 132) = 1.
Given numbers are 390, 189, 131, 132
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 131 are 131
Prime factors of 132 are 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 390, 189, 131, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 189) = 24570
GCD(390, 189) = ( 390 x 189 ) / 24570
= 390 / 189
= 390
Step2:
LCM(3, 131) = 393
GCD(3, 131) = ( 3 x 131 ) / 393
= 3 / 131
= 3
Step3:
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
= 1 / 132
= 1
So, Greatest Common Divisor of 390, 189, 131, 132 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 189, 131, 132
The greatest common divisor of numbers 390, 189, 131, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 189, 131, 132 is 1.
1. What is the GCD of 390, 189, 131, 132?
GCD of given numbers 390, 189, 131, 132 is 1
2. How to calculate the greatest common divisor of 390, 189, 131, 132?
We can find the highest common divisor of 390, 189, 131, 132 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 390, 189, 131, 132 i.e 1.
3. How can I use the GCD of 390, 189, 131, 132Calculator?
Out the numbers 390, 189, 131, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.