GCD of 409, 491, 729, 147 Calculator

Given Input numbers are 409, 491, 729, 147

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

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 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 409, 491, 729, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 491, 729, 147 is 1.

Therefore, GCD of numbers 409, 491, 729, 147 is 1

Given Input Data is 409, 491, 729, 147

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

Prime Factorization of 409 is 409

Prime Factorization of 491 is 491

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

Prime Factorization of 147 is 3 x 7 x 7

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(409, 491) = 200819

GCD(409, 491) = ( 409 x 491 ) / 200819

GCD(409, 491) = 200819 / 200819

GCD(409, 491) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 409, 491, 729, 147 is 1

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1. What is the GCD of 409, 491, 729, 147?

GCD of 409, 491, 729, 147 is 1

2. Where do I get the detailed procedure to find GCD of 409, 491, 729, 147?

You can find a detailed procedure to find GCD of 409, 491, 729, 147 on our page.

3. How to find GCD of 409, 491, 729, 147 on a calculator?

You can find the GCD of 409, 491, 729, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.