GCD of 294, 370, 404, 163 Calculator

Given Input numbers are 294, 370, 404, 163

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Greatest Common Divisior

We found the divisors of 294, 370, 404, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 370, 404, 163 is 1.

Therefore, GCD of numbers 294, 370, 404, 163 is 1

Given Input Data is 294, 370, 404, 163

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 163 is 163

The above numbers do not have any common prime factor. So GCD is 1

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(294, 370) = 54390

GCD(294, 370) = ( 294 x 370 ) / 54390

GCD(294, 370) = 108780 / 54390

GCD(294, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 163

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

LCM(2, 163) = 326

GCD(2, 163) = ( 2 x 163 ) / 326

GCD(2, 163) = 326 / 326

GCD(2, 163) = 1

GCD of 294, 370, 404, 163 is 1

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1. What is the GCD of 294, 370, 404, 163?

GCD of 294, 370, 404, 163 is 1

2. Where do I get the detailed procedure to find GCD of 294, 370, 404, 163?

You can find a detailed procedure to find GCD of 294, 370, 404, 163 on our page.

3. How to find GCD of 294, 370, 404, 163 on a calculator?

You can find the GCD of 294, 370, 404, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.