GCD of 691, 300, 91, 597 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 691, 300, 91, 597 i.e. 1 largest integer that divides all the numbers equally.

GCD of 691, 300, 91, 597 is 1

GCD(691, 300, 91, 597) = 1

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

GCD of

GCD of numbers 691, 300, 91, 597 is 1

GCD(691, 300, 91, 597) = 1

GCD of 691,300,91,597 Calculator

GCDof 691,300,91,597 is 1

Given Input numbers are 691, 300, 91, 597

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

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 691, 300, 91, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 300, 91, 597 is 1.

Therefore, GCD of numbers 691, 300, 91, 597 is 1

Finding GCD of 691, 300, 91, 597 using Prime Factorization

Given Input Data is 691, 300, 91, 597

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

Prime Factorization of 691 is 691

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 91 is 7 x 13

Prime Factorization of 597 is 3 x 199

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

Finding GCD of 691, 300, 91, 597 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(691, 300) = 207300

GCD(691, 300) = ( 691 x 300 ) / 207300

GCD(691, 300) = 207300 / 207300

GCD(691, 300) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 691, 300, 91, 597 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 691, 300, 91, 597

1. What is the GCD of 691, 300, 91, 597?

GCD of 691, 300, 91, 597 is 1


2. Where do I get the detailed procedure to find GCD of 691, 300, 91, 597?

You can find a detailed procedure to find GCD of 691, 300, 91, 597 on our page.


3. How to find GCD of 691, 300, 91, 597 on a calculator?

You can find the GCD of 691, 300, 91, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.