GCD of 918, 394, 230, 202 Calculator

Given Input numbers are 918, 394, 230, 202

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

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 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 918, 394, 230, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 394, 230, 202 is 2.

Therefore, GCD of numbers 918, 394, 230, 202 is 2

Given Input Data is 918, 394, 230, 202

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 394 is 2 x 197

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 202 is 2 x 101

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(918, 394) = 180846

GCD(918, 394) = ( 918 x 394 ) / 180846

GCD(918, 394) = 361692 / 180846

GCD(918, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 230

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

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

GCD(2, 230) = 460 / 230

GCD(2, 230) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

GCD of 918, 394, 230, 202 is 2

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1. What is the GCD of 918, 394, 230, 202?

GCD of 918, 394, 230, 202 is 2

2. Where do I get the detailed procedure to find GCD of 918, 394, 230, 202?

You can find a detailed procedure to find GCD of 918, 394, 230, 202 on our page.

3. How to find GCD of 918, 394, 230, 202 on a calculator?

You can find the GCD of 918, 394, 230, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.