GCD of 320, 829, 56, 905 Calculator

Given Input numbers are 320, 829, 56, 905

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 320, 829, 56, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 829, 56, 905 is 1.

Therefore, GCD of numbers 320, 829, 56, 905 is 1

Given Input Data is 320, 829, 56, 905

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 829 is 829

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 905 is 5 x 181

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(320, 829) = 265280

GCD(320, 829) = ( 320 x 829 ) / 265280

GCD(320, 829) = 265280 / 265280

GCD(320, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 320, 829, 56, 905 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 360, 77, 167
• GCD of 500, 915, 57, 731
• GCD of 410, 938, 74, 865
• GCD of 938, 493, 16, 693
• GCD of 942, 313, 88, 297

1. What is the GCD of 320, 829, 56, 905?

GCD of 320, 829, 56, 905 is 1

2. Where do I get the detailed procedure to find GCD of 320, 829, 56, 905?

You can find a detailed procedure to find GCD of 320, 829, 56, 905 on our page.

3. How to find GCD of 320, 829, 56, 905 on a calculator?

You can find the GCD of 320, 829, 56, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.