GCD of 717, 165, 574, 442 Calculator

Given Input numbers are 717, 165, 574, 442

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

Divisors of 717

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

1, 3, 239, 717

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 717, 165, 574, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 165, 574, 442 is 1.

Therefore, GCD of numbers 717, 165, 574, 442 is 1

Given Input Data is 717, 165, 574, 442

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 442 is 2 x 13 x 17

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(717, 165) = 39435

GCD(717, 165) = ( 717 x 165 ) / 39435

GCD(717, 165) = 118305 / 39435

GCD(717, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 574

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

LCM(3, 574) = 1722

GCD(3, 574) = ( 3 x 574 ) / 1722

GCD(3, 574) = 1722 / 1722

GCD(3, 574) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 717, 165, 574, 442 is 1

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• GCD of 914, 409, 571, 592
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1. What is the GCD of 717, 165, 574, 442?

GCD of 717, 165, 574, 442 is 1

2. Where do I get the detailed procedure to find GCD of 717, 165, 574, 442?

You can find a detailed procedure to find GCD of 717, 165, 574, 442 on our page.

3. How to find GCD of 717, 165, 574, 442 on a calculator?

You can find the GCD of 717, 165, 574, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.