Online GCD Calculator is useful to find the GCD of 270, 214, 418, 309 quickly. Get the easiest ways to solve the greatest common divisor of 270, 214, 418, 309 i.e 1 in different methods as follows.
Given Input numbers are 270, 214, 418, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (270, 214, 418, 309) = 1.
Given numbers are 270, 214, 418, 309
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 214 are 2 x 107
Prime factors of 418 are 2 x 11 x 19
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 214, 418, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 214) = 28890
GCD(270, 214) = ( 270 x 214 ) / 28890
= 270 / 214
= 270
Step2:
LCM(2, 418) = 418
GCD(2, 418) = ( 2 x 418 ) / 418
= 2 / 418
= 2
Step3:
LCM(2, 309) = 618
GCD(2, 309) = ( 2 x 309 ) / 618
= 2 / 309
= 2
So, Greatest Common Divisor of 270, 214, 418, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 214, 418, 309
The greatest common divisor of numbers 270, 214, 418, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 214, 418, 309 is 1.
1. What is the GCD of 270, 214, 418, 309?
GCD of given numbers 270, 214, 418, 309 is 1
2. How to calculate the greatest common divisor of 270, 214, 418, 309?
We can find the highest common divisor of 270, 214, 418, 309 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 270, 214, 418, 309 i.e 1.
3. How can I use the GCD of 270, 214, 418, 309Calculator?
Out the numbers 270, 214, 418, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.