GCD of 209, 821, 740, 729 Calculator

Given Input numbers are 209, 821, 740, 729

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 209, 821, 740, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 821, 740, 729 is 1.

Therefore, GCD of numbers 209, 821, 740, 729 is 1

Given Input Data is 209, 821, 740, 729

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 821 is 821

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(209, 821) = 171589

GCD(209, 821) = ( 209 x 821 ) / 171589

GCD(209, 821) = 171589 / 171589

GCD(209, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 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 209, 821, 740, 729 is 1

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1. What is the GCD of 209, 821, 740, 729?

GCD of 209, 821, 740, 729 is 1

2. Where do I get the detailed procedure to find GCD of 209, 821, 740, 729?

You can find a detailed procedure to find GCD of 209, 821, 740, 729 on our page.

3. How to find GCD of 209, 821, 740, 729 on a calculator?

You can find the GCD of 209, 821, 740, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.