GCD of 808, 470, 173, 537 Calculator

Given Input numbers are 808, 470, 173, 537

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

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 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 808, 470, 173, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 470, 173, 537 is 1.

Therefore, GCD of numbers 808, 470, 173, 537 is 1

Given Input Data is 808, 470, 173, 537

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 173 is 173

Prime Factorization of 537 is 3 x 179

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(808, 470) = 189880

GCD(808, 470) = ( 808 x 470 ) / 189880

GCD(808, 470) = 379760 / 189880

GCD(808, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 173

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

LCM(2, 173) = 346

GCD(2, 173) = ( 2 x 173 ) / 346

GCD(2, 173) = 346 / 346

GCD(2, 173) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 808, 470, 173, 537 is 1

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1. What is the GCD of 808, 470, 173, 537?

GCD of 808, 470, 173, 537 is 1

2. Where do I get the detailed procedure to find GCD of 808, 470, 173, 537?

You can find a detailed procedure to find GCD of 808, 470, 173, 537 on our page.

3. How to find GCD of 808, 470, 173, 537 on a calculator?

You can find the GCD of 808, 470, 173, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.