GCD of 816, 629, 59, 928 Calculator

Given Input numbers are 816, 629, 59, 928

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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

Greatest Common Divisior

We found the divisors of 816, 629, 59, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 629, 59, 928 is 1.

Therefore, GCD of numbers 816, 629, 59, 928 is 1

Given Input Data is 816, 629, 59, 928

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 629 is 17 x 37

Prime Factorization of 59 is 59

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

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(816, 629) = 30192

GCD(816, 629) = ( 816 x 629 ) / 30192

GCD(816, 629) = 513264 / 30192

GCD(816, 629) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 59

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

LCM(17, 59) = 1003

GCD(17, 59) = ( 17 x 59 ) / 1003

GCD(17, 59) = 1003 / 1003

GCD(17, 59) = 1

Step3:

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

GCD of 816, 629, 59, 928 is 1

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1. What is the GCD of 816, 629, 59, 928?

GCD of 816, 629, 59, 928 is 1

2. Where do I get the detailed procedure to find GCD of 816, 629, 59, 928?

You can find a detailed procedure to find GCD of 816, 629, 59, 928 on our page.

3. How to find GCD of 816, 629, 59, 928 on a calculator?

You can find the GCD of 816, 629, 59, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.