Online GCD Calculator is useful to find the GCD of 302, 353, 214, 180 quickly. Get the easiest ways to solve the greatest common divisor of 302, 353, 214, 180 i.e 1 in different methods as follows.
Given Input numbers are 302, 353, 214, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
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
GCD of numbers is the greatest common divisor
So, the GCD (302, 353, 214, 180) = 1.
Given numbers are 302, 353, 214, 180
The list of prime factors of all numbers are
Prime factors of 302 are 2 x 151
Prime factors of 353 are 353
Prime factors of 214 are 2 x 107
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 302, 353, 214, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(302, 353) = 106606
GCD(302, 353) = ( 302 x 353 ) / 106606
= 302 / 353
= 302
Step2:
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
= 1 / 214
= 1
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 302, 353, 214, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 302, 353, 214, 180
The greatest common divisor of numbers 302, 353, 214, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 353, 214, 180 is 1.
1. What is the GCD of 302, 353, 214, 180?
GCD of given numbers 302, 353, 214, 180 is 1
2. How to calculate the greatest common divisor of 302, 353, 214, 180?
We can find the highest common divisor of 302, 353, 214, 180 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 302, 353, 214, 180 i.e 1.
3. How can I use the GCD of 302, 353, 214, 180Calculator?
Out the numbers 302, 353, 214, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.