GCD of 698, 872, 323 Calculator

Given Input numbers are 698, 872, 323

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 698, 872, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 872, 323 is 1.

Therefore, GCD of numbers 698, 872, 323 is 1

Given Input Data is 698, 872, 323

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 323 is 17 x 19

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(698, 872) = 304328

GCD(698, 872) = ( 698 x 872 ) / 304328

GCD(698, 872) = 608656 / 304328

GCD(698, 872) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 323

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

LCM(2, 323) = 646

GCD(2, 323) = ( 2 x 323 ) / 646

GCD(2, 323) = 646 / 646

GCD(2, 323) = 1

GCD of 698, 872, 323 is 1

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1. What is the GCD of 698, 872, 323?

GCD of 698, 872, 323 is 1

2. Where do I get the detailed procedure to find GCD of 698, 872, 323?

You can find a detailed procedure to find GCD of 698, 872, 323 on our page.

3. How to find GCD of 698, 872, 323 on a calculator?

You can find the GCD of 698, 872, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.