Online GCD Calculator is useful to find the GCD of 164, 618, 308 quickly. Get the easiest ways to solve the greatest common divisor of 164, 618, 308 i.e 2 in different methods as follows.
Given Input numbers are 164, 618, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
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
GCD of numbers is the greatest common divisor
So, the GCD (164, 618, 308) = 2.
Given numbers are 164, 618, 308
The list of prime factors of all numbers are
Prime factors of 164 are 2 x 2 x 41
Prime factors of 618 are 2 x 3 x 103
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 164, 618, 308 is 2.
Given numbers are 164, 618, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(164, 618) = 50676
GCD(164, 618) = ( 164 x 618 ) / 50676
= 164 / 618
= 164
Step2:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
So, Greatest Common Divisor of 164, 618, 308 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 164, 618, 308
The greatest common divisor of numbers 164, 618, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 618, 308 is 2.
1. What is the GCD of 164, 618, 308?
GCD of given numbers 164, 618, 308 is 2
2. How to calculate the greatest common divisor of 164, 618, 308?
We can find the highest common divisor of 164, 618, 308 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 164, 618, 308 i.e 2.
3. How can I use the GCD of 164, 618, 308Calculator?
Out the numbers 164, 618, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.