GCD of 72, 260, 676, 955 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 72, 260, 676, 955 i.e. 1 largest integer that divides all the numbers equally.

GCD of 72, 260, 676, 955 is 1

GCD(72, 260, 676, 955) = 1

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

GCD of

GCD of numbers 72, 260, 676, 955 is 1

GCD(72, 260, 676, 955) = 1

GCD of 72,260,676,955 Calculator

GCDof 72,260,676,955 is 1

Given Input numbers are 72, 260, 676, 955

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 72, 260, 676, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 260, 676, 955 is 1.

Therefore, GCD of numbers 72, 260, 676, 955 is 1

Finding GCD of 72, 260, 676, 955 using Prime Factorization

Given Input Data is 72, 260, 676, 955

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 955 is 5 x 191

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

Finding GCD of 72, 260, 676, 955 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(72, 260) = 4680

GCD(72, 260) = ( 72 x 260 ) / 4680

GCD(72, 260) = 18720 / 4680

GCD(72, 260) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 676

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

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

GCD(4, 676) = 2704 / 676

GCD(4, 676) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 955

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

LCM(4, 955) = 3820

GCD(4, 955) = ( 4 x 955 ) / 3820

GCD(4, 955) = 3820 / 3820

GCD(4, 955) = 1

GCD of 72, 260, 676, 955 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 72, 260, 676, 955

1. What is the GCD of 72, 260, 676, 955?

GCD of 72, 260, 676, 955 is 1


2. Where do I get the detailed procedure to find GCD of 72, 260, 676, 955?

You can find a detailed procedure to find GCD of 72, 260, 676, 955 on our page.


3. How to find GCD of 72, 260, 676, 955 on a calculator?

You can find the GCD of 72, 260, 676, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.