GCD of 28, 728, 617, 557 Calculator

Given Input numbers are 28, 728, 617, 557

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 28, 728, 617, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 728, 617, 557 is 1.

Therefore, GCD of numbers 28, 728, 617, 557 is 1

Given Input Data is 28, 728, 617, 557

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 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 617 is 617

Prime Factorization of 557 is 557

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, 728) = 728

GCD(28, 728) = ( 28 x 728 ) / 728

GCD(28, 728) = 20384 / 728

GCD(28, 728) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 617

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

LCM(28, 617) = 17276

GCD(28, 617) = ( 28 x 617 ) / 17276

GCD(28, 617) = 17276 / 17276

GCD(28, 617) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 28, 728, 617, 557 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 271, 911, 227
• GCD of 68, 121, 533, 892
• GCD of 70, 216, 834, 872
• GCD of 46, 617, 763, 325
• GCD of 92, 735, 705, 603

1. What is the GCD of 28, 728, 617, 557?

GCD of 28, 728, 617, 557 is 1

2. Where do I get the detailed procedure to find GCD of 28, 728, 617, 557?

You can find a detailed procedure to find GCD of 28, 728, 617, 557 on our page.

3. How to find GCD of 28, 728, 617, 557 on a calculator?

You can find the GCD of 28, 728, 617, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.