GCD of 928, 460, 17, 699 Calculator

Given Input numbers are 928, 460, 17, 699

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 17

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

1, 17

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 928, 460, 17, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 460, 17, 699 is 1.

Therefore, GCD of numbers 928, 460, 17, 699 is 1

Given Input Data is 928, 460, 17, 699

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 17 is 17

Prime Factorization of 699 is 3 x 233

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(928, 460) = 106720

GCD(928, 460) = ( 928 x 460 ) / 106720

GCD(928, 460) = 426880 / 106720

GCD(928, 460) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 17

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

LCM(4, 17) = 68

GCD(4, 17) = ( 4 x 17 ) / 68

GCD(4, 17) = 68 / 68

GCD(4, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 928, 460, 17, 699 is 1

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• GCD of 950, 668, 84, 437
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• GCD of 586, 177, 81, 880

1. What is the GCD of 928, 460, 17, 699?

GCD of 928, 460, 17, 699 is 1

2. Where do I get the detailed procedure to find GCD of 928, 460, 17, 699?

You can find a detailed procedure to find GCD of 928, 460, 17, 699 on our page.

3. How to find GCD of 928, 460, 17, 699 on a calculator?

You can find the GCD of 928, 460, 17, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.