Online GCD Calculator is useful to find the GCD of 129, 218, 561, 721 quickly. Get the easiest ways to solve the greatest common divisor of 129, 218, 561, 721 i.e 1 in different methods as follows.
Given Input numbers are 129, 218, 561, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (129, 218, 561, 721) = 1.
Given numbers are 129, 218, 561, 721
The list of prime factors of all numbers are
Prime factors of 129 are 3 x 43
Prime factors of 218 are 2 x 109
Prime factors of 561 are 3 x 11 x 17
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 129, 218, 561, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(129, 218) = 28122
GCD(129, 218) = ( 129 x 218 ) / 28122
= 129 / 218
= 129
Step2:
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
= 1 / 561
= 1
Step3:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
So, Greatest Common Divisor of 129, 218, 561, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 129, 218, 561, 721
The greatest common divisor of numbers 129, 218, 561, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 218, 561, 721 is 1.
1. What is the GCD of 129, 218, 561, 721?
GCD of given numbers 129, 218, 561, 721 is 1
2. How to calculate the greatest common divisor of 129, 218, 561, 721?
We can find the highest common divisor of 129, 218, 561, 721 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 129, 218, 561, 721 i.e 1.
3. How can I use the GCD of 129, 218, 561, 721Calculator?
Out the numbers 129, 218, 561, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.