GCD of 488, 441, 506, 284 Calculator

Given Input numbers are 488, 441, 506, 284

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 488, 441, 506, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 441, 506, 284 is 1.

Therefore, GCD of numbers 488, 441, 506, 284 is 1

Given Input Data is 488, 441, 506, 284

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 284 is 2 x 2 x 71

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(488, 441) = 215208

GCD(488, 441) = ( 488 x 441 ) / 215208

GCD(488, 441) = 215208 / 215208

GCD(488, 441) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 488, 441, 506, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 781, 941, 306
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• GCD of 621, 865, 713, 400
• GCD of 137, 126, 764, 237
• GCD of 304, 675, 135, 364

1. What is the GCD of 488, 441, 506, 284?

GCD of 488, 441, 506, 284 is 1

2. Where do I get the detailed procedure to find GCD of 488, 441, 506, 284?

You can find a detailed procedure to find GCD of 488, 441, 506, 284 on our page.

3. How to find GCD of 488, 441, 506, 284 on a calculator?

You can find the GCD of 488, 441, 506, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.