GCD of 108, 197, 713, 763 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 108, 197, 713, 763 i.e. 1 largest integer that divides all the numbers equally.

GCD of 108, 197, 713, 763 is 1

GCD(108, 197, 713, 763) = 1

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

GCD of

GCD of numbers 108, 197, 713, 763 is 1

GCD(108, 197, 713, 763) = 1

GCD of 108,197,713,763 Calculator

GCDof 108,197,713,763 is 1

Given Input numbers are 108, 197, 713, 763

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 108, 197, 713, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 197, 713, 763 is 1.

Therefore, GCD of numbers 108, 197, 713, 763 is 1

Finding GCD of 108, 197, 713, 763 using Prime Factorization

Given Input Data is 108, 197, 713, 763

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 197 is 197

Prime Factorization of 713 is 23 x 31

Prime Factorization of 763 is 7 x 109

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

Finding GCD of 108, 197, 713, 763 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(108, 197) = 21276

GCD(108, 197) = ( 108 x 197 ) / 21276

GCD(108, 197) = 21276 / 21276

GCD(108, 197) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 108, 197, 713, 763 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 108, 197, 713, 763

1. What is the GCD of 108, 197, 713, 763?

GCD of 108, 197, 713, 763 is 1


2. Where do I get the detailed procedure to find GCD of 108, 197, 713, 763?

You can find a detailed procedure to find GCD of 108, 197, 713, 763 on our page.


3. How to find GCD of 108, 197, 713, 763 on a calculator?

You can find the GCD of 108, 197, 713, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.