GCD of 176, 398, 294, 473 Calculator

Given Input numbers are 176, 398, 294, 473

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

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 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 176, 398, 294, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 398, 294, 473 is 1.

Therefore, GCD of numbers 176, 398, 294, 473 is 1

Given Input Data is 176, 398, 294, 473

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 398 is 2 x 199

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

Prime Factorization of 473 is 11 x 43

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(176, 398) = 35024

GCD(176, 398) = ( 176 x 398 ) / 35024

GCD(176, 398) = 70048 / 35024

GCD(176, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 294

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

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

GCD(2, 294) = 588 / 294

GCD(2, 294) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 473

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

LCM(2, 473) = 946

GCD(2, 473) = ( 2 x 473 ) / 946

GCD(2, 473) = 946 / 946

GCD(2, 473) = 1

GCD of 176, 398, 294, 473 is 1

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1. What is the GCD of 176, 398, 294, 473?

GCD of 176, 398, 294, 473 is 1

2. Where do I get the detailed procedure to find GCD of 176, 398, 294, 473?

You can find a detailed procedure to find GCD of 176, 398, 294, 473 on our page.

3. How to find GCD of 176, 398, 294, 473 on a calculator?

You can find the GCD of 176, 398, 294, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.