GCD of 700, 364, 191 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 700, 364, 191 i.e. 1 largest integer that divides all the numbers equally.

GCD of 700, 364, 191 is 1

GCD(700, 364, 191) = 1

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

GCD of

GCD of numbers 700, 364, 191 is 1

GCD(700, 364, 191) = 1

GCD of 700,364,191 Calculator

GCDof 700,364,191 is 1

Given Input numbers are 700, 364, 191

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

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Greatest Common Divisior

We found the divisors of 700, 364, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 364, 191 is 1.

Therefore, GCD of numbers 700, 364, 191 is 1

Finding GCD of 700, 364, 191 using Prime Factorization

Given Input Data is 700, 364, 191

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

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 191 is 191

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

Finding GCD of 700, 364, 191 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(700, 364) = 9100

GCD(700, 364) = ( 700 x 364 ) / 9100

GCD(700, 364) = 254800 / 9100

GCD(700, 364) = 28


Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 191

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

LCM(28, 191) = 5348

GCD(28, 191) = ( 28 x 191 ) / 5348

GCD(28, 191) = 5348 / 5348

GCD(28, 191) = 1

GCD of 700, 364, 191 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 700, 364, 191

1. What is the GCD of 700, 364, 191?

GCD of 700, 364, 191 is 1


2. Where do I get the detailed procedure to find GCD of 700, 364, 191?

You can find a detailed procedure to find GCD of 700, 364, 191 on our page.


3. How to find GCD of 700, 364, 191 on a calculator?

You can find the GCD of 700, 364, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.