GCD of 497, 179, 20, 404 Calculator

Given Input numbers are 497, 179, 20, 404

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 404

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

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 497, 179, 20, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 179, 20, 404 is 1.

Therefore, GCD of numbers 497, 179, 20, 404 is 1

Given Input Data is 497, 179, 20, 404

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 179 is 179

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 404 is 2 x 2 x 101

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(497, 179) = 88963

GCD(497, 179) = ( 497 x 179 ) / 88963

GCD(497, 179) = 88963 / 88963

GCD(497, 179) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 497, 179, 20, 404 is 1

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1. What is the GCD of 497, 179, 20, 404?

GCD of 497, 179, 20, 404 is 1

2. Where do I get the detailed procedure to find GCD of 497, 179, 20, 404?

You can find a detailed procedure to find GCD of 497, 179, 20, 404 on our page.

3. How to find GCD of 497, 179, 20, 404 on a calculator?

You can find the GCD of 497, 179, 20, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.