GCD of 502, 282, 245, 717 Calculator

Given Input numbers are 502, 282, 245, 717

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 282

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

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

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 502, 282, 245, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 282, 245, 717 is 1.

Therefore, GCD of numbers 502, 282, 245, 717 is 1

Given Input Data is 502, 282, 245, 717

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 717 is 3 x 239

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(502, 282) = 70782

GCD(502, 282) = ( 502 x 282 ) / 70782

GCD(502, 282) = 141564 / 70782

GCD(502, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 245

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

LCM(2, 245) = 490

GCD(2, 245) = ( 2 x 245 ) / 490

GCD(2, 245) = 490 / 490

GCD(2, 245) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 502, 282, 245, 717 is 1

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1. What is the GCD of 502, 282, 245, 717?

GCD of 502, 282, 245, 717 is 1

2. Where do I get the detailed procedure to find GCD of 502, 282, 245, 717?

You can find a detailed procedure to find GCD of 502, 282, 245, 717 on our page.

3. How to find GCD of 502, 282, 245, 717 on a calculator?

You can find the GCD of 502, 282, 245, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.