GCD of 28, 472, 914, 717 Calculator

Given Input numbers are 28, 472, 914, 717

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

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 28, 472, 914, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 472, 914, 717 is 1.

Therefore, GCD of numbers 28, 472, 914, 717 is 1

Given Input Data is 28, 472, 914, 717

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 914 is 2 x 457

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(28, 472) = 3304

GCD(28, 472) = ( 28 x 472 ) / 3304

GCD(28, 472) = 13216 / 3304

GCD(28, 472) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 914

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

LCM(4, 914) = 1828

GCD(4, 914) = ( 4 x 914 ) / 1828

GCD(4, 914) = 3656 / 1828

GCD(4, 914) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 717

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

LCM(2, 717) = 1434

GCD(2, 717) = ( 2 x 717 ) / 1434

GCD(2, 717) = 1434 / 1434

GCD(2, 717) = 1

GCD of 28, 472, 914, 717 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 903, 782, 734
• GCD of 91, 783, 597, 259
• GCD of 90, 179, 507, 908
• GCD of 58, 397, 890, 671
• GCD of 53, 844, 811, 737

1. What is the GCD of 28, 472, 914, 717?

GCD of 28, 472, 914, 717 is 1

2. Where do I get the detailed procedure to find GCD of 28, 472, 914, 717?

You can find a detailed procedure to find GCD of 28, 472, 914, 717 on our page.

3. How to find GCD of 28, 472, 914, 717 on a calculator?

You can find the GCD of 28, 472, 914, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.