GCD of 738, 806, 68 Calculator

Given Input numbers are 738, 806, 68

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

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 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Greatest Common Divisior

We found the divisors of 738, 806, 68 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 806, 68 is 2.

Therefore, GCD of numbers 738, 806, 68 is 2

Given Input Data is 738, 806, 68

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

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 68 is 2 x 2 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(738, 806) = 297414

GCD(738, 806) = ( 738 x 806 ) / 297414

GCD(738, 806) = 594828 / 297414

GCD(738, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

GCD of 738, 806, 68 is 2

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1. What is the GCD of 738, 806, 68?

GCD of 738, 806, 68 is 2

2. Where do I get the detailed procedure to find GCD of 738, 806, 68?

You can find a detailed procedure to find GCD of 738, 806, 68 on our page.

3. How to find GCD of 738, 806, 68 on a calculator?

You can find the GCD of 738, 806, 68 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.