Online GCD Calculator is useful to find the GCD of 204, 131, 47 quickly. Get the easiest ways to solve the greatest common divisor of 204, 131, 47 i.e 1 in different methods as follows.
Given Input numbers are 204, 131, 47
In the factoring method, we have to find the divisors of all numbers
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
Divisors of 47 :
The positive integer divisors of 47 that completely divides 47 are.
1, 47
GCD of numbers is the greatest common divisor
So, the GCD (204, 131, 47) = 1.
Given numbers are 204, 131, 47
The list of prime factors of all numbers are
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 131 are 131
Prime factors of 47 are 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 204, 131, 47
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(204, 131) = 26724
GCD(204, 131) = ( 204 x 131 ) / 26724
= 204 / 131
= 204
Step2:
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
= 1 / 47
= 1
So, Greatest Common Divisor of 204, 131, 47 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 204, 131, 47
The greatest common divisor of numbers 204, 131, 47 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 131, 47 is 1.
1. What is the GCD of 204, 131, 47?
GCD of given numbers 204, 131, 47 is 1
2. How to calculate the greatest common divisor of 204, 131, 47?
We can find the highest common divisor of 204, 131, 47 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 204, 131, 47 i.e 1.
3. How can I use the GCD of 204, 131, 47Calculator?
Out the numbers 204, 131, 47 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.