GCD of 520, 838, 110, 808 Calculator

Given Input numbers are 520, 838, 110, 808

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

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 520, 838, 110, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 838, 110, 808 is 2.

Therefore, GCD of numbers 520, 838, 110, 808 is 2

Given Input Data is 520, 838, 110, 808

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 838 is 2 x 419

Prime Factorization of 110 is 2 x 5 x 11

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(520, 838) = 217880

GCD(520, 838) = ( 520 x 838 ) / 217880

GCD(520, 838) = 435760 / 217880

GCD(520, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 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 520, 838, 110, 808 is 2

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1. What is the GCD of 520, 838, 110, 808?

GCD of 520, 838, 110, 808 is 2

2. Where do I get the detailed procedure to find GCD of 520, 838, 110, 808?

You can find a detailed procedure to find GCD of 520, 838, 110, 808 on our page.

3. How to find GCD of 520, 838, 110, 808 on a calculator?

You can find the GCD of 520, 838, 110, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.