GCD of 65, 715, 279, 345 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 65, 715, 279, 345 i.e. 1 largest integer that divides all the numbers equally.

GCD of 65, 715, 279, 345 is 1

GCD(65, 715, 279, 345) = 1

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

GCD of

GCD of numbers 65, 715, 279, 345 is 1

GCD(65, 715, 279, 345) = 1

GCD of 65,715,279,345 Calculator

GCDof 65,715,279,345 is 1

Given Input numbers are 65, 715, 279, 345

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 65, 715, 279, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 715, 279, 345 is 1.

Therefore, GCD of numbers 65, 715, 279, 345 is 1

Finding GCD of 65, 715, 279, 345 using Prime Factorization

Given Input Data is 65, 715, 279, 345

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 345 is 3 x 5 x 23

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

Finding GCD of 65, 715, 279, 345 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(65, 715) = 715

GCD(65, 715) = ( 65 x 715 ) / 715

GCD(65, 715) = 46475 / 715

GCD(65, 715) = 65


Step2:

Here we consider the GCD from the above i.e. 65 as first number and the next as 279

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

LCM(65, 279) = 18135

GCD(65, 279) = ( 65 x 279 ) / 18135

GCD(65, 279) = 18135 / 18135

GCD(65, 279) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 65, 715, 279, 345 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 65, 715, 279, 345

1. What is the GCD of 65, 715, 279, 345?

GCD of 65, 715, 279, 345 is 1


2. Where do I get the detailed procedure to find GCD of 65, 715, 279, 345?

You can find a detailed procedure to find GCD of 65, 715, 279, 345 on our page.


3. How to find GCD of 65, 715, 279, 345 on a calculator?

You can find the GCD of 65, 715, 279, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.