GCD of 808, 370, 298 Calculator

Given Input numbers are 808, 370, 298

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 808, 370, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 370, 298 is 2.

Therefore, GCD of numbers 808, 370, 298 is 2

Given Input Data is 808, 370, 298

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 370 is 2 x 5 x 37

Prime Factorization of 298 is 2 x 149

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, 370) = 149480

GCD(808, 370) = ( 808 x 370 ) / 149480

GCD(808, 370) = 298960 / 149480

GCD(808, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 298

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

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

GCD(2, 298) = 596 / 298

GCD(2, 298) = 2

GCD of 808, 370, 298 is 2

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1. What is the GCD of 808, 370, 298?

GCD of 808, 370, 298 is 2

2. Where do I get the detailed procedure to find GCD of 808, 370, 298?

You can find a detailed procedure to find GCD of 808, 370, 298 on our page.

3. How to find GCD of 808, 370, 298 on a calculator?

You can find the GCD of 808, 370, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.