GCD of 298, 896, 80, 798 Calculator

Given Input numbers are 298, 896, 80, 798

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

Divisors of 298

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

1, 2, 149, 298

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 298, 896, 80, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 896, 80, 798 is 2.

Therefore, GCD of numbers 298, 896, 80, 798 is 2

Given Input Data is 298, 896, 80, 798

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 798 is 2 x 3 x 7 x 19

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(298, 896) = 133504

GCD(298, 896) = ( 298 x 896 ) / 133504

GCD(298, 896) = 267008 / 133504

GCD(298, 896) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 798

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

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

GCD(2, 798) = 1596 / 798

GCD(2, 798) = 2

GCD of 298, 896, 80, 798 is 2

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1. What is the GCD of 298, 896, 80, 798?

GCD of 298, 896, 80, 798 is 2

2. Where do I get the detailed procedure to find GCD of 298, 896, 80, 798?

You can find a detailed procedure to find GCD of 298, 896, 80, 798 on our page.

3. How to find GCD of 298, 896, 80, 798 on a calculator?

You can find the GCD of 298, 896, 80, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.