GCD of 506, 688, 286 Calculator

Given Input numbers are 506, 688, 286

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 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 506, 688, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 688, 286 is 2.

Therefore, GCD of numbers 506, 688, 286 is 2

Given Input Data is 506, 688, 286

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 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 286 is 2 x 11 x 13

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, 688) = 174064

GCD(506, 688) = ( 506 x 688 ) / 174064

GCD(506, 688) = 348128 / 174064

GCD(506, 688) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 286

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

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

GCD(2, 286) = 572 / 286

GCD(2, 286) = 2

GCD of 506, 688, 286 is 2

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1. What is the GCD of 506, 688, 286?

GCD of 506, 688, 286 is 2

2. Where do I get the detailed procedure to find GCD of 506, 688, 286?

You can find a detailed procedure to find GCD of 506, 688, 286 on our page.

3. How to find GCD of 506, 688, 286 on a calculator?

You can find the GCD of 506, 688, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.