Online GCD Calculator is useful to find the GCD of 559, 518, 390, 109 quickly. Get the easiest ways to solve the greatest common divisor of 559, 518, 390, 109 i.e 1 in different methods as follows.
Given Input numbers are 559, 518, 390, 109
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 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
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 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (559, 518, 390, 109) = 1.
Given numbers are 559, 518, 390, 109
The list of prime factors of all numbers are
Prime factors of 559 are 13 x 43
Prime factors of 518 are 2 x 7 x 37
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 559, 518, 390, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(559, 518) = 289562
GCD(559, 518) = ( 559 x 518 ) / 289562
= 559 / 518
= 559
Step2:
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
= 1 / 390
= 1
Step3:
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
= 1 / 109
= 1
So, Greatest Common Divisor of 559, 518, 390, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 559, 518, 390, 109
The greatest common divisor of numbers 559, 518, 390, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 559, 518, 390, 109 is 1.
1. What is the GCD of 559, 518, 390, 109?
GCD of given numbers 559, 518, 390, 109 is 1
2. How to calculate the greatest common divisor of 559, 518, 390, 109?
We can find the highest common divisor of 559, 518, 390, 109 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, 518, 390, 109 i.e 1.
3. How can I use the GCD of 559, 518, 390, 109Calculator?
Out the numbers 559, 518, 390, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.