GCD of 796, 488, 386, 744 Calculator

Given Input numbers are 796, 488, 386, 744

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

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

Greatest Common Divisior

We found the divisors of 796, 488, 386, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 488, 386, 744 is 2.

Therefore, GCD of numbers 796, 488, 386, 744 is 2

Given Input Data is 796, 488, 386, 744

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 386 is 2 x 193

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

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(796, 488) = 97112

GCD(796, 488) = ( 796 x 488 ) / 97112

GCD(796, 488) = 388448 / 97112

GCD(796, 488) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 386

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

LCM(4, 386) = 772

GCD(4, 386) = ( 4 x 386 ) / 772

GCD(4, 386) = 1544 / 772

GCD(4, 386) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 744

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

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

GCD(2, 744) = 1488 / 744

GCD(2, 744) = 2

GCD of 796, 488, 386, 744 is 2

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1. What is the GCD of 796, 488, 386, 744?

GCD of 796, 488, 386, 744 is 2

2. Where do I get the detailed procedure to find GCD of 796, 488, 386, 744?

You can find a detailed procedure to find GCD of 796, 488, 386, 744 on our page.

3. How to find GCD of 796, 488, 386, 744 on a calculator?

You can find the GCD of 796, 488, 386, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.