GCD of 15, 348, 341, 845 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 15, 348, 341, 845 i.e. 1 largest integer that divides all the numbers equally.

GCD of 15, 348, 341, 845 is 1

GCD(15, 348, 341, 845) = 1

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

GCD of

GCD of numbers 15, 348, 341, 845 is 1

GCD(15, 348, 341, 845) = 1

GCD of 15,348,341,845 Calculator

GCDof 15,348,341,845 is 1

Given Input numbers are 15, 348, 341, 845

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 15, 348, 341, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 348, 341, 845 is 1.

Therefore, GCD of numbers 15, 348, 341, 845 is 1

Finding GCD of 15, 348, 341, 845 using Prime Factorization

Given Input Data is 15, 348, 341, 845

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 341 is 11 x 31

Prime Factorization of 845 is 5 x 13 x 13

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

Finding GCD of 15, 348, 341, 845 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(15, 348) = 1740

GCD(15, 348) = ( 15 x 348 ) / 1740

GCD(15, 348) = 5220 / 1740

GCD(15, 348) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 341

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

LCM(3, 341) = 1023

GCD(3, 341) = ( 3 x 341 ) / 1023

GCD(3, 341) = 1023 / 1023

GCD(3, 341) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 845

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

LCM(1, 845) = 845

GCD(1, 845) = ( 1 x 845 ) / 845

GCD(1, 845) = 845 / 845

GCD(1, 845) = 1

GCD of 15, 348, 341, 845 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 15, 348, 341, 845

1. What is the GCD of 15, 348, 341, 845?

GCD of 15, 348, 341, 845 is 1


2. Where do I get the detailed procedure to find GCD of 15, 348, 341, 845?

You can find a detailed procedure to find GCD of 15, 348, 341, 845 on our page.


3. How to find GCD of 15, 348, 341, 845 on a calculator?

You can find the GCD of 15, 348, 341, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.