GCD of 353, 505, 199, 729 Calculator

Given Input numbers are 353, 505, 199, 729

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 729

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

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

Greatest Common Divisior

We found the divisors of 353, 505, 199, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 505, 199, 729 is 1.

Therefore, GCD of numbers 353, 505, 199, 729 is 1

Given Input Data is 353, 505, 199, 729

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

Prime Factorization of 353 is 353

Prime Factorization of 505 is 5 x 101

Prime Factorization of 199 is 199

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

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(353, 505) = 178265

GCD(353, 505) = ( 353 x 505 ) / 178265

GCD(353, 505) = 178265 / 178265

GCD(353, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 353, 505, 199, 729 is 1

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• GCD of 396, 576, 427, 554
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• GCD of 947, 746, 405, 839

1. What is the GCD of 353, 505, 199, 729?

GCD of 353, 505, 199, 729 is 1

2. Where do I get the detailed procedure to find GCD of 353, 505, 199, 729?

You can find a detailed procedure to find GCD of 353, 505, 199, 729 on our page.

3. How to find GCD of 353, 505, 199, 729 on a calculator?

You can find the GCD of 353, 505, 199, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.