GCD of 299, 591, 700 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 299, 591, 700 i.e. 1 largest integer that divides all the numbers equally.

GCD of 299, 591, 700 is 1

GCD(299, 591, 700) = 1

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

GCD of

GCD of numbers 299, 591, 700 is 1

GCD(299, 591, 700) = 1

GCD of 299,591,700 Calculator

GCDof 299,591,700 is 1

Given Input numbers are 299, 591, 700

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 299, 591, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 591, 700 is 1.

Therefore, GCD of numbers 299, 591, 700 is 1

Finding GCD of 299, 591, 700 using Prime Factorization

Given Input Data is 299, 591, 700

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 591 is 3 x 197

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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

Finding GCD of 299, 591, 700 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(299, 591) = 176709

GCD(299, 591) = ( 299 x 591 ) / 176709

GCD(299, 591) = 176709 / 176709

GCD(299, 591) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 299, 591, 700 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 299, 591, 700

1. What is the GCD of 299, 591, 700?

GCD of 299, 591, 700 is 1


2. Where do I get the detailed procedure to find GCD of 299, 591, 700?

You can find a detailed procedure to find GCD of 299, 591, 700 on our page.


3. How to find GCD of 299, 591, 700 on a calculator?

You can find the GCD of 299, 591, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.