GCD of 532, 442, 862, 808 Calculator

Given Input numbers are 532, 442, 862, 808

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

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 532, 442, 862, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 442, 862, 808 is 2.

Therefore, GCD of numbers 532, 442, 862, 808 is 2

Given Input Data is 532, 442, 862, 808

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 862 is 2 x 431

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(532, 442) = 117572

GCD(532, 442) = ( 532 x 442 ) / 117572

GCD(532, 442) = 235144 / 117572

GCD(532, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 862

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

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

GCD(2, 862) = 1724 / 862

GCD(2, 862) = 2

Step3:

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 532, 442, 862, 808 is 2

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1. What is the GCD of 532, 442, 862, 808?

GCD of 532, 442, 862, 808 is 2

2. Where do I get the detailed procedure to find GCD of 532, 442, 862, 808?

You can find a detailed procedure to find GCD of 532, 442, 862, 808 on our page.

3. How to find GCD of 532, 442, 862, 808 on a calculator?

You can find the GCD of 532, 442, 862, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.