GCD of 388, 738, 306 Calculator

Given Input numbers are 388, 738, 306

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

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

Greatest Common Divisior

We found the divisors of 388, 738, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 738, 306 is 2.

Therefore, GCD of numbers 388, 738, 306 is 2

Given Input Data is 388, 738, 306

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 306 is 2 x 3 x 3 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(388, 738) = 143172

GCD(388, 738) = ( 388 x 738 ) / 143172

GCD(388, 738) = 286344 / 143172

GCD(388, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 306

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

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

GCD(2, 306) = 612 / 306

GCD(2, 306) = 2

GCD of 388, 738, 306 is 2

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1. What is the GCD of 388, 738, 306?

GCD of 388, 738, 306 is 2

2. Where do I get the detailed procedure to find GCD of 388, 738, 306?

You can find a detailed procedure to find GCD of 388, 738, 306 on our page.

3. How to find GCD of 388, 738, 306 on a calculator?

You can find the GCD of 388, 738, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.