Online GCD Calculator is useful to find the GCD of 104, 722, 129, 559 quickly. Get the easiest ways to solve the greatest common divisor of 104, 722, 129, 559 i.e 1 in different methods as follows.
Given Input numbers are 104, 722, 129, 559
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
GCD of numbers is the greatest common divisor
So, the GCD (104, 722, 129, 559) = 1.
Given numbers are 104, 722, 129, 559
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 722 are 2 x 19 x 19
Prime factors of 129 are 3 x 43
Prime factors of 559 are 13 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 104, 722, 129, 559
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 722) = 37544
GCD(104, 722) = ( 104 x 722 ) / 37544
= 104 / 722
= 104
Step2:
LCM(2, 129) = 258
GCD(2, 129) = ( 2 x 129 ) / 258
= 2 / 129
= 2
Step3:
LCM(1, 559) = 559
GCD(1, 559) = ( 1 x 559 ) / 559
= 1 / 559
= 1
So, Greatest Common Divisor of 104, 722, 129, 559 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 722, 129, 559
The greatest common divisor of numbers 104, 722, 129, 559 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 722, 129, 559 is 1.
1. What is the GCD of 104, 722, 129, 559?
GCD of given numbers 104, 722, 129, 559 is 1
2. How to calculate the greatest common divisor of 104, 722, 129, 559?
We can find the highest common divisor of 104, 722, 129, 559 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 104, 722, 129, 559 i.e 1.
3. How can I use the GCD of 104, 722, 129, 559Calculator?
Out the numbers 104, 722, 129, 559 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.