GCD of 819, 696, 316, 688 Calculator

Given Input numbers are 819, 696, 316, 688

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 819, 696, 316, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 696, 316, 688 is 1.

Therefore, GCD of numbers 819, 696, 316, 688 is 1

Given Input Data is 819, 696, 316, 688

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(819, 696) = 190008

GCD(819, 696) = ( 819 x 696 ) / 190008

GCD(819, 696) = 570024 / 190008

GCD(819, 696) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 316

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

LCM(3, 316) = 948

GCD(3, 316) = ( 3 x 316 ) / 948

GCD(3, 316) = 948 / 948

GCD(3, 316) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 819, 696, 316, 688 is 1

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1. What is the GCD of 819, 696, 316, 688?

GCD of 819, 696, 316, 688 is 1

2. Where do I get the detailed procedure to find GCD of 819, 696, 316, 688?

You can find a detailed procedure to find GCD of 819, 696, 316, 688 on our page.

3. How to find GCD of 819, 696, 316, 688 on a calculator?

You can find the GCD of 819, 696, 316, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.