Online GCD Calculator is useful to find the GCD of 159, 660, 218, 729 quickly. Get the easiest ways to solve the greatest common divisor of 159, 660, 218, 729 i.e 1 in different methods as follows.
Given Input numbers are 159, 660, 218, 729
In the factoring method, we have to find the divisors of all numbers
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
GCD of numbers is the greatest common divisor
So, the GCD (159, 660, 218, 729) = 1.
Given numbers are 159, 660, 218, 729
The list of prime factors of all numbers are
Prime factors of 159 are 3 x 53
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 218 are 2 x 109
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 159, 660, 218, 729
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(159, 660) = 34980
GCD(159, 660) = ( 159 x 660 ) / 34980
= 159 / 660
= 159
Step2:
LCM(3, 218) = 654
GCD(3, 218) = ( 3 x 218 ) / 654
= 3 / 218
= 3
Step3:
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
= 1 / 729
= 1
So, Greatest Common Divisor of 159, 660, 218, 729 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 159, 660, 218, 729
The greatest common divisor of numbers 159, 660, 218, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 660, 218, 729 is 1.
1. What is the GCD of 159, 660, 218, 729?
GCD of given numbers 159, 660, 218, 729 is 1
2. How to calculate the greatest common divisor of 159, 660, 218, 729?
We can find the highest common divisor of 159, 660, 218, 729 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 159, 660, 218, 729 i.e 1.
3. How can I use the GCD of 159, 660, 218, 729Calculator?
Out the numbers 159, 660, 218, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.