GCD of 221, 804, 218, 829 Calculator

Given Input numbers are 221, 804, 218, 829

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 218

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

1, 2, 109, 218

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 221, 804, 218, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 804, 218, 829 is 1.

Therefore, GCD of numbers 221, 804, 218, 829 is 1

Given Input Data is 221, 804, 218, 829

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 218 is 2 x 109

Prime Factorization of 829 is 829

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(221, 804) = 177684

GCD(221, 804) = ( 221 x 804 ) / 177684

GCD(221, 804) = 177684 / 177684

GCD(221, 804) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 221, 804, 218, 829 is 1

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• GCD of 345, 993, 418, 710
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1. What is the GCD of 221, 804, 218, 829?

GCD of 221, 804, 218, 829 is 1

2. Where do I get the detailed procedure to find GCD of 221, 804, 218, 829?

You can find a detailed procedure to find GCD of 221, 804, 218, 829 on our page.

3. How to find GCD of 221, 804, 218, 829 on a calculator?

You can find the GCD of 221, 804, 218, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.