GCD of 918, 919, 17, 728 Calculator

Given Input numbers are 918, 919, 17, 728

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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

Greatest Common Divisior

We found the divisors of 918, 919, 17, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 919, 17, 728 is 1.

Therefore, GCD of numbers 918, 919, 17, 728 is 1

Given Input Data is 918, 919, 17, 728

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 919 is 919

Prime Factorization of 17 is 17

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(918, 919) = 843642

GCD(918, 919) = ( 918 x 919 ) / 843642

GCD(918, 919) = 843642 / 843642

GCD(918, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 918, 919, 17, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 695, 61, 476
• GCD of 498, 744, 51, 675
• GCD of 122, 841, 10, 197
• GCD of 184, 730, 43, 352
• GCD of 328, 364, 86, 762

1. What is the GCD of 918, 919, 17, 728?

GCD of 918, 919, 17, 728 is 1

2. Where do I get the detailed procedure to find GCD of 918, 919, 17, 728?

You can find a detailed procedure to find GCD of 918, 919, 17, 728 on our page.

3. How to find GCD of 918, 919, 17, 728 on a calculator?

You can find the GCD of 918, 919, 17, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.