GCD of 231, 104, 98, 916 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 231, 104, 98, 916 i.e. 1 largest integer that divides all the numbers equally.

GCD of 231, 104, 98, 916 is 1

GCD(231, 104, 98, 916) = 1

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

GCD of

GCD of numbers 231, 104, 98, 916 is 1

GCD(231, 104, 98, 916) = 1

GCD of 231,104,98,916 Calculator

GCDof 231,104,98,916 is 1

Given Input numbers are 231, 104, 98, 916

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 231, 104, 98, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 104, 98, 916 is 1.

Therefore, GCD of numbers 231, 104, 98, 916 is 1

Finding GCD of 231, 104, 98, 916 using Prime Factorization

Given Input Data is 231, 104, 98, 916

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 916 is 2 x 2 x 229

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

Finding GCD of 231, 104, 98, 916 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(231, 104) = 24024

GCD(231, 104) = ( 231 x 104 ) / 24024

GCD(231, 104) = 24024 / 24024

GCD(231, 104) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 231, 104, 98, 916 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 231, 104, 98, 916

1. What is the GCD of 231, 104, 98, 916?

GCD of 231, 104, 98, 916 is 1


2. Where do I get the detailed procedure to find GCD of 231, 104, 98, 916?

You can find a detailed procedure to find GCD of 231, 104, 98, 916 on our page.


3. How to find GCD of 231, 104, 98, 916 on a calculator?

You can find the GCD of 231, 104, 98, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.