Online GCD Calculator is useful to find the GCD of 218, 180, 159, 353 quickly. Get the easiest ways to solve the greatest common divisor of 218, 180, 159, 353 i.e 1 in different methods as follows.
Given Input numbers are 218, 180, 159, 353
In the factoring method, we have to find the divisors of all numbers
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
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 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
GCD of numbers is the greatest common divisor
So, the GCD (218, 180, 159, 353) = 1.
Given numbers are 218, 180, 159, 353
The list of prime factors of all numbers are
Prime factors of 218 are 2 x 109
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 159 are 3 x 53
Prime factors of 353 are 353
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 218, 180, 159, 353
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(218, 180) = 19620
GCD(218, 180) = ( 218 x 180 ) / 19620
= 218 / 180
= 218
Step2:
LCM(2, 159) = 318
GCD(2, 159) = ( 2 x 159 ) / 318
= 2 / 159
= 2
Step3:
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
= 1 / 353
= 1
So, Greatest Common Divisor of 218, 180, 159, 353 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 218, 180, 159, 353
The greatest common divisor of numbers 218, 180, 159, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 180, 159, 353 is 1.
1. What is the GCD of 218, 180, 159, 353?
GCD of given numbers 218, 180, 159, 353 is 1
2. How to calculate the greatest common divisor of 218, 180, 159, 353?
We can find the highest common divisor of 218, 180, 159, 353 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 218, 180, 159, 353 i.e 1.
3. How can I use the GCD of 218, 180, 159, 353Calculator?
Out the numbers 218, 180, 159, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.