GCD of 699, 321, 170, 268 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 699, 321, 170, 268 i.e. 1 largest integer that divides all the numbers equally.

GCD of 699, 321, 170, 268 is 1

GCD(699, 321, 170, 268) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 699, 321, 170, 268 is 1

GCD(699, 321, 170, 268) = 1

GCD of 699,321,170,268 Calculator

GCDof 699,321,170,268 is 1

Given Input numbers are 699, 321, 170, 268

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 699, 321, 170, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 321, 170, 268 is 1.

Therefore, GCD of numbers 699, 321, 170, 268 is 1

Finding GCD of 699, 321, 170, 268 using Prime Factorization

Given Input Data is 699, 321, 170, 268

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 321 is 3 x 107

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 268 is 2 x 2 x 67

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 699, 321, 170, 268 using LCM Formula

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(699, 321) = 74793

GCD(699, 321) = ( 699 x 321 ) / 74793

GCD(699, 321) = 224379 / 74793

GCD(699, 321) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 170

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

LCM(3, 170) = 510

GCD(3, 170) = ( 3 x 170 ) / 510

GCD(3, 170) = 510 / 510

GCD(3, 170) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 699, 321, 170, 268 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 699, 321, 170, 268

1. What is the GCD of 699, 321, 170, 268?

GCD of 699, 321, 170, 268 is 1


2. Where do I get the detailed procedure to find GCD of 699, 321, 170, 268?

You can find a detailed procedure to find GCD of 699, 321, 170, 268 on our page.


3. How to find GCD of 699, 321, 170, 268 on a calculator?

You can find the GCD of 699, 321, 170, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.