GCD of 758, 282, 808 Calculator

Given Input numbers are 758, 282, 808

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 758, 282, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 282, 808 is 2.

Therefore, GCD of numbers 758, 282, 808 is 2

Given Input Data is 758, 282, 808

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(758, 282) = 106878

GCD(758, 282) = ( 758 x 282 ) / 106878

GCD(758, 282) = 213756 / 106878

GCD(758, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 808

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

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

GCD(2, 808) = 1616 / 808

GCD(2, 808) = 2

GCD of 758, 282, 808 is 2

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1. What is the GCD of 758, 282, 808?

GCD of 758, 282, 808 is 2

2. Where do I get the detailed procedure to find GCD of 758, 282, 808?

You can find a detailed procedure to find GCD of 758, 282, 808 on our page.

3. How to find GCD of 758, 282, 808 on a calculator?

You can find the GCD of 758, 282, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.