GCD of 702, 108, 91, 260 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 702, 108, 91, 260 i.e. 1 largest integer that divides all the numbers equally.

GCD of 702, 108, 91, 260 is 1

GCD(702, 108, 91, 260) = 1

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

GCD of

GCD of numbers 702, 108, 91, 260 is 1

GCD(702, 108, 91, 260) = 1

GCD of 702,108,91,260 Calculator

GCDof 702,108,91,260 is 1

Given Input numbers are 702, 108, 91, 260

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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 91

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

1, 7, 13, 91

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 702, 108, 91, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 108, 91, 260 is 1.

Therefore, GCD of numbers 702, 108, 91, 260 is 1

Finding GCD of 702, 108, 91, 260 using Prime Factorization

Given Input Data is 702, 108, 91, 260

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 260 is 2 x 2 x 5 x 13

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

Finding GCD of 702, 108, 91, 260 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(702, 108) = 1404

GCD(702, 108) = ( 702 x 108 ) / 1404

GCD(702, 108) = 75816 / 1404

GCD(702, 108) = 54


Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 91

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

LCM(54, 91) = 4914

GCD(54, 91) = ( 54 x 91 ) / 4914

GCD(54, 91) = 4914 / 4914

GCD(54, 91) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 702, 108, 91, 260 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 702, 108, 91, 260

1. What is the GCD of 702, 108, 91, 260?

GCD of 702, 108, 91, 260 is 1


2. Where do I get the detailed procedure to find GCD of 702, 108, 91, 260?

You can find a detailed procedure to find GCD of 702, 108, 91, 260 on our page.


3. How to find GCD of 702, 108, 91, 260 on a calculator?

You can find the GCD of 702, 108, 91, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.