GCD of 271, 494, 756, 717 Calculator

Given Input numbers are 271, 494, 756, 717

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 271, 494, 756, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 494, 756, 717 is 1.

Therefore, GCD of numbers 271, 494, 756, 717 is 1

Given Input Data is 271, 494, 756, 717

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

Prime Factorization of 271 is 271

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 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(271, 494) = 133874

GCD(271, 494) = ( 271 x 494 ) / 133874

GCD(271, 494) = 133874 / 133874

GCD(271, 494) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 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 271, 494, 756, 717 is 1

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1. What is the GCD of 271, 494, 756, 717?

GCD of 271, 494, 756, 717 is 1

2. Where do I get the detailed procedure to find GCD of 271, 494, 756, 717?

You can find a detailed procedure to find GCD of 271, 494, 756, 717 on our page.

3. How to find GCD of 271, 494, 756, 717 on a calculator?

You can find the GCD of 271, 494, 756, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.