Online GCD Calculator is useful to find the GCD of 308, 123, 218, 396 quickly. Get the easiest ways to solve the greatest common divisor of 308, 123, 218, 396 i.e 1 in different methods as follows.
Given Input numbers are 308, 123, 218, 396
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
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
GCD of numbers is the greatest common divisor
So, the GCD (308, 123, 218, 396) = 1.
Given numbers are 308, 123, 218, 396
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 123 are 3 x 41
Prime factors of 218 are 2 x 109
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 308, 123, 218, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 123) = 37884
GCD(308, 123) = ( 308 x 123 ) / 37884
= 308 / 123
= 308
Step2:
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
= 1 / 218
= 1
Step3:
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
= 1 / 396
= 1
So, Greatest Common Divisor of 308, 123, 218, 396 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 123, 218, 396
The greatest common divisor of numbers 308, 123, 218, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 123, 218, 396 is 1.
1. What is the GCD of 308, 123, 218, 396?
GCD of given numbers 308, 123, 218, 396 is 1
2. How to calculate the greatest common divisor of 308, 123, 218, 396?
We can find the highest common divisor of 308, 123, 218, 396 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 308, 123, 218, 396 i.e 1.
3. How can I use the GCD of 308, 123, 218, 396Calculator?
Out the numbers 308, 123, 218, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.