GCD of 296, 796, 72, 903 Calculator

Given Input numbers are 296, 796, 72, 903

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 796

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

1, 2, 4, 199, 398, 796

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Greatest Common Divisior

We found the divisors of 296, 796, 72, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 796, 72, 903 is 1.

Therefore, GCD of numbers 296, 796, 72, 903 is 1

Given Input Data is 296, 796, 72, 903

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 903 is 3 x 7 x 43

The above numbers do not have any common prime factor. So GCD is 1

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(296, 796) = 58904

GCD(296, 796) = ( 296 x 796 ) / 58904

GCD(296, 796) = 235616 / 58904

GCD(296, 796) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 903

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

LCM(4, 903) = 3612

GCD(4, 903) = ( 4 x 903 ) / 3612

GCD(4, 903) = 3612 / 3612

GCD(4, 903) = 1

GCD of 296, 796, 72, 903 is 1

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1. What is the GCD of 296, 796, 72, 903?

GCD of 296, 796, 72, 903 is 1

2. Where do I get the detailed procedure to find GCD of 296, 796, 72, 903?

You can find a detailed procedure to find GCD of 296, 796, 72, 903 on our page.

3. How to find GCD of 296, 796, 72, 903 on a calculator?

You can find the GCD of 296, 796, 72, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.