GCD of 744, 646, 368 Calculator

Given Input numbers are 744, 646, 368

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 744, 646, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 646, 368 is 2.

Therefore, GCD of numbers 744, 646, 368 is 2

Given Input Data is 744, 646, 368

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(744, 646) = 240312

GCD(744, 646) = ( 744 x 646 ) / 240312

GCD(744, 646) = 480624 / 240312

GCD(744, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 368

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

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

GCD(2, 368) = 736 / 368

GCD(2, 368) = 2

GCD of 744, 646, 368 is 2

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1. What is the GCD of 744, 646, 368?

GCD of 744, 646, 368 is 2

2. Where do I get the detailed procedure to find GCD of 744, 646, 368?

You can find a detailed procedure to find GCD of 744, 646, 368 on our page.

3. How to find GCD of 744, 646, 368 on a calculator?

You can find the GCD of 744, 646, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.