GCD of 289, 884, 53, 520 Calculator

Given Input numbers are 289, 884, 53, 520

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

Divisors of 289

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

1, 17, 289

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 289, 884, 53, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 884, 53, 520 is 1.

Therefore, GCD of numbers 289, 884, 53, 520 is 1

Given Input Data is 289, 884, 53, 520

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 53 is 53

Prime Factorization of 520 is 2 x 2 x 2 x 5 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(289, 884) = 15028

GCD(289, 884) = ( 289 x 884 ) / 15028

GCD(289, 884) = 255476 / 15028

GCD(289, 884) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 53

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

LCM(17, 53) = 901

GCD(17, 53) = ( 17 x 53 ) / 901

GCD(17, 53) = 901 / 901

GCD(17, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 289, 884, 53, 520 is 1

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• GCD of 221, 478, 84, 113
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1. What is the GCD of 289, 884, 53, 520?

GCD of 289, 884, 53, 520 is 1

2. Where do I get the detailed procedure to find GCD of 289, 884, 53, 520?

You can find a detailed procedure to find GCD of 289, 884, 53, 520 on our page.

3. How to find GCD of 289, 884, 53, 520 on a calculator?

You can find the GCD of 289, 884, 53, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.