Online GCD Calculator is useful to find the GCD of 505, 159, 180, 129 quickly. Get the easiest ways to solve the greatest common divisor of 505, 159, 180, 129 i.e 1 in different methods as follows.
Given Input numbers are 505, 159, 180, 129
In the factoring method, we have to find the divisors of all numbers
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
GCD of numbers is the greatest common divisor
So, the GCD (505, 159, 180, 129) = 1.
Given numbers are 505, 159, 180, 129
The list of prime factors of all numbers are
Prime factors of 505 are 5 x 101
Prime factors of 159 are 3 x 53
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 129 are 3 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 505, 159, 180, 129
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(505, 159) = 80295
GCD(505, 159) = ( 505 x 159 ) / 80295
= 505 / 159
= 505
Step2:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
Step3:
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
= 1 / 129
= 1
So, Greatest Common Divisor of 505, 159, 180, 129 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 505, 159, 180, 129
The greatest common divisor of numbers 505, 159, 180, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 159, 180, 129 is 1.
1. What is the GCD of 505, 159, 180, 129?
GCD of given numbers 505, 159, 180, 129 is 1
2. How to calculate the greatest common divisor of 505, 159, 180, 129?
We can find the highest common divisor of 505, 159, 180, 129 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 505, 159, 180, 129 i.e 1.
3. How can I use the GCD of 505, 159, 180, 129Calculator?
Out the numbers 505, 159, 180, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.