GCD of 729, 362, 49, 841 Calculator

Given Input numbers are 729, 362, 49, 841

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 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 729, 362, 49, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 362, 49, 841 is 1.

Therefore, GCD of numbers 729, 362, 49, 841 is 1

Given Input Data is 729, 362, 49, 841

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 362 is 2 x 181

Prime Factorization of 49 is 7 x 7

Prime Factorization of 841 is 29 x 29

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, 362) = 263898

GCD(729, 362) = ( 729 x 362 ) / 263898

GCD(729, 362) = 263898 / 263898

GCD(729, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

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

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

GCD of 729, 362, 49, 841 is 1

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1. What is the GCD of 729, 362, 49, 841?

GCD of 729, 362, 49, 841 is 1

2. Where do I get the detailed procedure to find GCD of 729, 362, 49, 841?

You can find a detailed procedure to find GCD of 729, 362, 49, 841 on our page.

3. How to find GCD of 729, 362, 49, 841 on a calculator?

You can find the GCD of 729, 362, 49, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.