GCD of 298, 854, 28 Calculator

Given Input numbers are 298, 854, 28

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 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Greatest Common Divisior

We found the divisors of 298, 854, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 854, 28 is 2.

Therefore, GCD of numbers 298, 854, 28 is 2

Given Input Data is 298, 854, 28

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 28 is 2 x 2 x 7

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, 854) = 127246

GCD(298, 854) = ( 298 x 854 ) / 127246

GCD(298, 854) = 254492 / 127246

GCD(298, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

GCD of 298, 854, 28 is 2

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1. What is the GCD of 298, 854, 28?

GCD of 298, 854, 28 is 2

2. Where do I get the detailed procedure to find GCD of 298, 854, 28?

You can find a detailed procedure to find GCD of 298, 854, 28 on our page.

3. How to find GCD of 298, 854, 28 on a calculator?

You can find the GCD of 298, 854, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.