GCD of 514, 208, 489, 441 Calculator

Given Input numbers are 514, 208, 489, 441

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 514, 208, 489, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 208, 489, 441 is 1.

Therefore, GCD of numbers 514, 208, 489, 441 is 1

Given Input Data is 514, 208, 489, 441

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

Prime Factorization of 514 is 2 x 257

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(514, 208) = 53456

GCD(514, 208) = ( 514 x 208 ) / 53456

GCD(514, 208) = 106912 / 53456

GCD(514, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 489

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

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

GCD(2, 489) = 978 / 978

GCD(2, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 514, 208, 489, 441 is 1

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• GCD of 932, 863, 413, 351
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1. What is the GCD of 514, 208, 489, 441?

GCD of 514, 208, 489, 441 is 1

2. Where do I get the detailed procedure to find GCD of 514, 208, 489, 441?

You can find a detailed procedure to find GCD of 514, 208, 489, 441 on our page.

3. How to find GCD of 514, 208, 489, 441 on a calculator?

You can find the GCD of 514, 208, 489, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.