GCD of 320, 849, 928, 826 Calculator

Given Input numbers are 320, 849, 928, 826

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 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

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 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 320, 849, 928, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 849, 928, 826 is 1.

Therefore, GCD of numbers 320, 849, 928, 826 is 1

Given Input Data is 320, 849, 928, 826

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 849 is 3 x 283

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

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(320, 849) = 271680

GCD(320, 849) = ( 320 x 849 ) / 271680

GCD(320, 849) = 271680 / 271680

GCD(320, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 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 320, 849, 928, 826 is 1

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1. What is the GCD of 320, 849, 928, 826?

GCD of 320, 849, 928, 826 is 1

2. Where do I get the detailed procedure to find GCD of 320, 849, 928, 826?

You can find a detailed procedure to find GCD of 320, 849, 928, 826 on our page.

3. How to find GCD of 320, 849, 928, 826 on a calculator?

You can find the GCD of 320, 849, 928, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.