GCD of 821, 289, 19, 208 Calculator

Given Input numbers are 821, 289, 19, 208

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 821, 289, 19, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 289, 19, 208 is 1.

Therefore, GCD of numbers 821, 289, 19, 208 is 1

Given Input Data is 821, 289, 19, 208

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

Prime Factorization of 821 is 821

Prime Factorization of 289 is 17 x 17

Prime Factorization of 19 is 19

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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, 289) = 237269

GCD(821, 289) = ( 821 x 289 ) / 237269

GCD(821, 289) = 237269 / 237269

GCD(821, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 821, 289, 19, 208 is 1

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• GCD of 740, 120, 39, 304
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1. What is the GCD of 821, 289, 19, 208?

GCD of 821, 289, 19, 208 is 1

2. Where do I get the detailed procedure to find GCD of 821, 289, 19, 208?

You can find a detailed procedure to find GCD of 821, 289, 19, 208 on our page.

3. How to find GCD of 821, 289, 19, 208 on a calculator?

You can find the GCD of 821, 289, 19, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.