GCD of 198, 898, 258 Calculator

Given Input numbers are 198, 898, 258

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 198, 898, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 898, 258 is 2.

Therefore, GCD of numbers 198, 898, 258 is 2

Given Input Data is 198, 898, 258

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 898 is 2 x 449

Prime Factorization of 258 is 2 x 3 x 43

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(198, 898) = 88902

GCD(198, 898) = ( 198 x 898 ) / 88902

GCD(198, 898) = 177804 / 88902

GCD(198, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 258

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

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

GCD(2, 258) = 516 / 258

GCD(2, 258) = 2

GCD of 198, 898, 258 is 2

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1. What is the GCD of 198, 898, 258?

GCD of 198, 898, 258 is 2

2. Where do I get the detailed procedure to find GCD of 198, 898, 258?

You can find a detailed procedure to find GCD of 198, 898, 258 on our page.

3. How to find GCD of 198, 898, 258 on a calculator?

You can find the GCD of 198, 898, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.