GCD of 821, 714, 459 Calculator

Given Input numbers are 821, 714, 459

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

Divisors of 821

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

1, 821

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 821, 714, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 714, 459 is 1.

Therefore, GCD of numbers 821, 714, 459 is 1

Given Input Data is 821, 714, 459

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

Prime Factorization of 821 is 821

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 459 is 3 x 3 x 3 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(821, 714) = 586194

GCD(821, 714) = ( 821 x 714 ) / 586194

GCD(821, 714) = 586194 / 586194

GCD(821, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 821, 714, 459 is 1

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1. What is the GCD of 821, 714, 459?

GCD of 821, 714, 459 is 1

2. Where do I get the detailed procedure to find GCD of 821, 714, 459?

You can find a detailed procedure to find GCD of 821, 714, 459 on our page.

3. How to find GCD of 821, 714, 459 on a calculator?

You can find the GCD of 821, 714, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.