GCD of 309, 306, 427, 164 Calculator

Given Input numbers are 309, 306, 427, 164

In the factoring method, we have to find the divisors of all numbers

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (309, 306, 427, 164) = 1.

Given numbers are 309, 306, 427, 164

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 427 are 7 x 61

Prime factors of 164 are 2 x 2 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 309, 306, 427, 164

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(309, 306) = 31518

GCD(309, 306) = ( 309 x 306 ) / 31518

= 309 / 306

= 309

Step2:

LCM(3, 427) = 1281

GCD(3, 427) = ( 3 x 427 ) / 1281

= 3 / 427

= 3

Step3:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1

So, Greatest Common Divisor of 309, 306, 427, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 129, 348, 522
• GCD of 344, 219, 285, 485
• GCD of 588, 404, 356, 321
• GCD of 298, 776, 623, 954
• GCD of 963, 470, 463, 828

Given numbers are 309, 306, 427, 164
The greatest common divisor of numbers 309, 306, 427, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 306, 427, 164 is 1.

1. What is the GCD of 309, 306, 427, 164?

GCD of given numbers 309, 306, 427, 164 is 1

2. How to calculate the greatest common divisor of 309, 306, 427, 164?

We can find the highest common divisor of 309, 306, 427, 164 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 309, 306, 427, 164 i.e 1.

3. How can I use the GCD of 309, 306, 427, 164Calculator?

Out the numbers 309, 306, 427, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.