GCD of 473, 285, 178, 289 Calculator

Given Input numbers are 473, 285, 178, 289

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

Divisors of 473

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

1, 11, 43, 473

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 473, 285, 178, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 285, 178, 289 is 1.

Therefore, GCD of numbers 473, 285, 178, 289 is 1

Given Input Data is 473, 285, 178, 289

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 178 is 2 x 89

Prime Factorization of 289 is 17 x 17

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(473, 285) = 134805

GCD(473, 285) = ( 473 x 285 ) / 134805

GCD(473, 285) = 134805 / 134805

GCD(473, 285) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 473, 285, 178, 289 is 1

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1. What is the GCD of 473, 285, 178, 289?

GCD of 473, 285, 178, 289 is 1

2. Where do I get the detailed procedure to find GCD of 473, 285, 178, 289?

You can find a detailed procedure to find GCD of 473, 285, 178, 289 on our page.

3. How to find GCD of 473, 285, 178, 289 on a calculator?

You can find the GCD of 473, 285, 178, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.