GCD of 896, 355, 17, 826 Calculator

Given Input numbers are 896, 355, 17, 826

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 17

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

1, 17

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 896, 355, 17, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 355, 17, 826 is 1.

Therefore, GCD of numbers 896, 355, 17, 826 is 1

Given Input Data is 896, 355, 17, 826

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 355 is 5 x 71

Prime Factorization of 17 is 17

Prime Factorization of 826 is 2 x 7 x 59

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(896, 355) = 318080

GCD(896, 355) = ( 896 x 355 ) / 318080

GCD(896, 355) = 318080 / 318080

GCD(896, 355) = 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 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 896, 355, 17, 826 is 1

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1. What is the GCD of 896, 355, 17, 826?

GCD of 896, 355, 17, 826 is 1

2. Where do I get the detailed procedure to find GCD of 896, 355, 17, 826?

You can find a detailed procedure to find GCD of 896, 355, 17, 826 on our page.

3. How to find GCD of 896, 355, 17, 826 on a calculator?

You can find the GCD of 896, 355, 17, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.