GCD of 230, 698, 190, 166 Calculator

Given Input numbers are 230, 698, 190, 166

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 230, 698, 190, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 698, 190, 166 is 2.

Therefore, GCD of numbers 230, 698, 190, 166 is 2

Given Input Data is 230, 698, 190, 166

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 698 is 2 x 349

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 166 is 2 x 83

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(230, 698) = 80270

GCD(230, 698) = ( 230 x 698 ) / 80270

GCD(230, 698) = 160540 / 80270

GCD(230, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 190

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

LCM(2, 190) = 190

GCD(2, 190) = ( 2 x 190 ) / 190

GCD(2, 190) = 380 / 190

GCD(2, 190) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 166

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

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

GCD(2, 166) = 332 / 166

GCD(2, 166) = 2

GCD of 230, 698, 190, 166 is 2

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1. What is the GCD of 230, 698, 190, 166?

GCD of 230, 698, 190, 166 is 2

2. Where do I get the detailed procedure to find GCD of 230, 698, 190, 166?

You can find a detailed procedure to find GCD of 230, 698, 190, 166 on our page.

3. How to find GCD of 230, 698, 190, 166 on a calculator?

You can find the GCD of 230, 698, 190, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.