GCD of 808, 220, 44, 978 Calculator

Given Input numbers are 808, 220, 44, 978

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

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 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 808, 220, 44, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 220, 44, 978 is 2.

Therefore, GCD of numbers 808, 220, 44, 978 is 2

Given Input Data is 808, 220, 44, 978

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

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 978 is 2 x 3 x 163

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(808, 220) = 44440

GCD(808, 220) = ( 808 x 220 ) / 44440

GCD(808, 220) = 177760 / 44440

GCD(808, 220) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 44

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

LCM(4, 44) = 44

GCD(4, 44) = ( 4 x 44 ) / 44

GCD(4, 44) = 176 / 44

GCD(4, 44) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 978

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

LCM(4, 978) = 1956

GCD(4, 978) = ( 4 x 978 ) / 1956

GCD(4, 978) = 3912 / 1956

GCD(4, 978) = 2

GCD of 808, 220, 44, 978 is 2

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1. What is the GCD of 808, 220, 44, 978?

GCD of 808, 220, 44, 978 is 2

2. Where do I get the detailed procedure to find GCD of 808, 220, 44, 978?

You can find a detailed procedure to find GCD of 808, 220, 44, 978 on our page.

3. How to find GCD of 808, 220, 44, 978 on a calculator?

You can find the GCD of 808, 220, 44, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.