GCD of 506, 120, 796, 294 Calculator

Given Input numbers are 506, 120, 796, 294

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 796

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

1, 2, 4, 199, 398, 796

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 506, 120, 796, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 120, 796, 294 is 2.

Therefore, GCD of numbers 506, 120, 796, 294 is 2

Given Input Data is 506, 120, 796, 294

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(506, 120) = 30360

GCD(506, 120) = ( 506 x 120 ) / 30360

GCD(506, 120) = 60720 / 30360

GCD(506, 120) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

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

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 294

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

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

GCD(2, 294) = 588 / 294

GCD(2, 294) = 2

GCD of 506, 120, 796, 294 is 2

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1. What is the GCD of 506, 120, 796, 294?

GCD of 506, 120, 796, 294 is 2

2. Where do I get the detailed procedure to find GCD of 506, 120, 796, 294?

You can find a detailed procedure to find GCD of 506, 120, 796, 294 on our page.

3. How to find GCD of 506, 120, 796, 294 on a calculator?

You can find the GCD of 506, 120, 796, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.