GCD of 844, 536, 808, 110 Calculator

Given Input numbers are 844, 536, 808, 110

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 808

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

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

Divisors of 110

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

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

Greatest Common Divisior

We found the divisors of 844, 536, 808, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 536, 808, 110 is 2.

Therefore, GCD of numbers 844, 536, 808, 110 is 2

Given Input Data is 844, 536, 808, 110

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 536 is 2 x 2 x 2 x 67

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

Prime Factorization of 110 is 2 x 5 x 11

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(844, 536) = 113096

GCD(844, 536) = ( 844 x 536 ) / 113096

GCD(844, 536) = 452384 / 113096

GCD(844, 536) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 808

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

LCM(4, 808) = 808

GCD(4, 808) = ( 4 x 808 ) / 808

GCD(4, 808) = 3232 / 808

GCD(4, 808) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 110

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

LCM(4, 110) = 220

GCD(4, 110) = ( 4 x 110 ) / 220

GCD(4, 110) = 440 / 220

GCD(4, 110) = 2

GCD of 844, 536, 808, 110 is 2

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1. What is the GCD of 844, 536, 808, 110?

GCD of 844, 536, 808, 110 is 2

2. Where do I get the detailed procedure to find GCD of 844, 536, 808, 110?

You can find a detailed procedure to find GCD of 844, 536, 808, 110 on our page.

3. How to find GCD of 844, 536, 808, 110 on a calculator?

You can find the GCD of 844, 536, 808, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.