GCD of 693, 256, 17 Calculator

Given Input numbers are 693, 256, 17

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 17

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

1, 17

Greatest Common Divisior

We found the divisors of 693, 256, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 256, 17 is 1.

Therefore, GCD of numbers 693, 256, 17 is 1

Given Input Data is 693, 256, 17

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 17 is 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(693, 256) = 177408

GCD(693, 256) = ( 693 x 256 ) / 177408

GCD(693, 256) = 177408 / 177408

GCD(693, 256) = 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

GCD of 693, 256, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 849, 82
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1. What is the GCD of 693, 256, 17?

GCD of 693, 256, 17 is 1

2. Where do I get the detailed procedure to find GCD of 693, 256, 17?

You can find a detailed procedure to find GCD of 693, 256, 17 on our page.

3. How to find GCD of 693, 256, 17 on a calculator?

You can find the GCD of 693, 256, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.