GCD of 796, 494, 32, 696 Calculator

Given Input numbers are 796, 494, 32, 696

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 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 796, 494, 32, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 494, 32, 696 is 2.

Therefore, GCD of numbers 796, 494, 32, 696 is 2

Given Input Data is 796, 494, 32, 696

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 494 is 2 x 13 x 19

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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, 494) = 196612

GCD(796, 494) = ( 796 x 494 ) / 196612

GCD(796, 494) = 393224 / 196612

GCD(796, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

GCD of 796, 494, 32, 696 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 430, 82, 736
• GCD of 759, 163, 58, 218
• GCD of 397, 563, 80, 220
• GCD of 832, 641, 67, 386
• GCD of 941, 550, 39, 759

1. What is the GCD of 796, 494, 32, 696?

GCD of 796, 494, 32, 696 is 2

2. Where do I get the detailed procedure to find GCD of 796, 494, 32, 696?

You can find a detailed procedure to find GCD of 796, 494, 32, 696 on our page.

3. How to find GCD of 796, 494, 32, 696 on a calculator?

You can find the GCD of 796, 494, 32, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.