GCD of 729, 176, 497, 187 Calculator

Given Input numbers are 729, 176, 497, 187

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

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

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 497

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

1, 7, 71, 497

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 729, 176, 497, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 176, 497, 187 is 1.

Therefore, GCD of numbers 729, 176, 497, 187 is 1

Given Input Data is 729, 176, 497, 187

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

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 187 is 11 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(729, 176) = 128304

GCD(729, 176) = ( 729 x 176 ) / 128304

GCD(729, 176) = 128304 / 128304

GCD(729, 176) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 729, 176, 497, 187 is 1

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1. What is the GCD of 729, 176, 497, 187?

GCD of 729, 176, 497, 187 is 1

2. Where do I get the detailed procedure to find GCD of 729, 176, 497, 187?

You can find a detailed procedure to find GCD of 729, 176, 497, 187 on our page.

3. How to find GCD of 729, 176, 497, 187 on a calculator?

You can find the GCD of 729, 176, 497, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.