GCD of 470, 198, 269, 368 Calculator

Given Input numbers are 470, 198, 269, 368

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

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 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 470, 198, 269, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 198, 269, 368 is 1.

Therefore, GCD of numbers 470, 198, 269, 368 is 1

Given Input Data is 470, 198, 269, 368

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

Prime Factorization of 470 is 2 x 5 x 47

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

Prime Factorization of 269 is 269

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(470, 198) = 46530

GCD(470, 198) = ( 470 x 198 ) / 46530

GCD(470, 198) = 93060 / 46530

GCD(470, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 269

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

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

GCD(2, 269) = 538 / 538

GCD(2, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 470, 198, 269, 368 is 1

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1. What is the GCD of 470, 198, 269, 368?

GCD of 470, 198, 269, 368 is 1

2. Where do I get the detailed procedure to find GCD of 470, 198, 269, 368?

You can find a detailed procedure to find GCD of 470, 198, 269, 368 on our page.

3. How to find GCD of 470, 198, 269, 368 on a calculator?

You can find the GCD of 470, 198, 269, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.