GCD of 245, 115, 84, 838 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 245, 115, 84, 838 i.e. 1 largest integer that divides all the numbers equally.

GCD of 245, 115, 84, 838 is 1

GCD(245, 115, 84, 838) = 1

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

GCD of

GCD of numbers 245, 115, 84, 838 is 1

GCD(245, 115, 84, 838) = 1

GCD of 245,115,84,838 Calculator

GCDof 245,115,84,838 is 1

Given Input numbers are 245, 115, 84, 838

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

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 245, 115, 84, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 115, 84, 838 is 1.

Therefore, GCD of numbers 245, 115, 84, 838 is 1

Finding GCD of 245, 115, 84, 838 using Prime Factorization

Given Input Data is 245, 115, 84, 838

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

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 115 is 5 x 23

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 838 is 2 x 419

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

Finding GCD of 245, 115, 84, 838 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(245, 115) = 5635

GCD(245, 115) = ( 245 x 115 ) / 5635

GCD(245, 115) = 28175 / 5635

GCD(245, 115) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 84

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

LCM(5, 84) = 420

GCD(5, 84) = ( 5 x 84 ) / 420

GCD(5, 84) = 420 / 420

GCD(5, 84) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 245, 115, 84, 838 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 245, 115, 84, 838

1. What is the GCD of 245, 115, 84, 838?

GCD of 245, 115, 84, 838 is 1


2. Where do I get the detailed procedure to find GCD of 245, 115, 84, 838?

You can find a detailed procedure to find GCD of 245, 115, 84, 838 on our page.


3. How to find GCD of 245, 115, 84, 838 on a calculator?

You can find the GCD of 245, 115, 84, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.