GCD of 821, 405, 779, 218 Calculator

Given Input numbers are 821, 405, 779, 218

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 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 821, 405, 779, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 405, 779, 218 is 1.

Therefore, GCD of numbers 821, 405, 779, 218 is 1

Given Input Data is 821, 405, 779, 218

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

Prime Factorization of 821 is 821

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 779 is 19 x 41

Prime Factorization of 218 is 2 x 109

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, 405) = 332505

GCD(821, 405) = ( 821 x 405 ) / 332505

GCD(821, 405) = 332505 / 332505

GCD(821, 405) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 821, 405, 779, 218 is 1

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• GCD of 852, 716, 208, 709
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1. What is the GCD of 821, 405, 779, 218?

GCD of 821, 405, 779, 218 is 1

2. Where do I get the detailed procedure to find GCD of 821, 405, 779, 218?

You can find a detailed procedure to find GCD of 821, 405, 779, 218 on our page.

3. How to find GCD of 821, 405, 779, 218 on a calculator?

You can find the GCD of 821, 405, 779, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.