GCD of 821, 389, 280, 282 Calculator

Given Input numbers are 821, 389, 280, 282

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 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 821, 389, 280, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 389, 280, 282 is 1.

Therefore, GCD of numbers 821, 389, 280, 282 is 1

Given Input Data is 821, 389, 280, 282

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

Prime Factorization of 821 is 821

Prime Factorization of 389 is 389

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 282 is 2 x 3 x 47

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, 389) = 319369

GCD(821, 389) = ( 821 x 389 ) / 319369

GCD(821, 389) = 319369 / 319369

GCD(821, 389) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 821, 389, 280, 282 is 1

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1. What is the GCD of 821, 389, 280, 282?

GCD of 821, 389, 280, 282 is 1

2. Where do I get the detailed procedure to find GCD of 821, 389, 280, 282?

You can find a detailed procedure to find GCD of 821, 389, 280, 282 on our page.

3. How to find GCD of 821, 389, 280, 282 on a calculator?

You can find the GCD of 821, 389, 280, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.