Online GCD Calculator is useful to find the GCD of 559, 131, 314 quickly. Get the easiest ways to solve the greatest common divisor of 559, 131, 314 i.e 1 in different methods as follows.
Given Input numbers are 559, 131, 314
In the factoring method, we have to find the divisors of all numbers
Divisors of 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (559, 131, 314) = 1.
Given numbers are 559, 131, 314
The list of prime factors of all numbers are
Prime factors of 559 are 13 x 43
Prime factors of 131 are 131
Prime factors of 314 are 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 559, 131, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(559, 131) = 73229
GCD(559, 131) = ( 559 x 131 ) / 73229
= 559 / 131
= 559
Step2:
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
= 1 / 314
= 1
So, Greatest Common Divisor of 559, 131, 314 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 559, 131, 314
The greatest common divisor of numbers 559, 131, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 559, 131, 314 is 1.
1. What is the GCD of 559, 131, 314?
GCD of given numbers 559, 131, 314 is 1
2. How to calculate the greatest common divisor of 559, 131, 314?
We can find the highest common divisor of 559, 131, 314 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 559, 131, 314 i.e 1.
3. How can I use the GCD of 559, 131, 314Calculator?
Out the numbers 559, 131, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.