Online GCD Calculator is useful to find the GCD of 396, 216, 149, 309 quickly. Get the easiest ways to solve the greatest common divisor of 396, 216, 149, 309 i.e 1 in different methods as follows.
Given Input numbers are 396, 216, 149, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
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 (396, 216, 149, 309) = 1.
Given numbers are 396, 216, 149, 309
The list of prime factors of all numbers are
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 149 are 149
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 396, 216, 149, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(396, 216) = 2376
GCD(396, 216) = ( 396 x 216 ) / 2376
= 396 / 216
= 396
Step2:
LCM(36, 149) = 5364
GCD(36, 149) = ( 36 x 149 ) / 5364
= 36 / 149
= 36
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 396, 216, 149, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 396, 216, 149, 309
The greatest common divisor of numbers 396, 216, 149, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 216, 149, 309 is 1.
1. What is the GCD of 396, 216, 149, 309?
GCD of given numbers 396, 216, 149, 309 is 1
2. How to calculate the greatest common divisor of 396, 216, 149, 309?
We can find the highest common divisor of 396, 216, 149, 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 396, 216, 149, 309 i.e 1.
3. How can I use the GCD of 396, 216, 149, 309Calculator?
Out the numbers 396, 216, 149, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.