GCD of 117, 309, 953 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 117, 309, 953 i.e. 1 largest integer that divides all the numbers equally.

GCD of 117, 309, 953 is 1

GCD(117, 309, 953) = 1

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

GCD of

GCD of numbers 117, 309, 953 is 1

GCD(117, 309, 953) = 1

GCD of 117,309,953 Calculator

GCDof 117,309,953 is 1

Given Input numbers are 117, 309, 953

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 117, 309, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 309, 953 is 1.

Therefore, GCD of numbers 117, 309, 953 is 1

Finding GCD of 117, 309, 953 using Prime Factorization

Given Input Data is 117, 309, 953

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 309 is 3 x 103

Prime Factorization of 953 is 953

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

Finding GCD of 117, 309, 953 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(117, 309) = 12051

GCD(117, 309) = ( 117 x 309 ) / 12051

GCD(117, 309) = 36153 / 12051

GCD(117, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 953

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

LCM(3, 953) = 2859

GCD(3, 953) = ( 3 x 953 ) / 2859

GCD(3, 953) = 2859 / 2859

GCD(3, 953) = 1

GCD of 117, 309, 953 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 117, 309, 953

1. What is the GCD of 117, 309, 953?

GCD of 117, 309, 953 is 1

2. Where do I get the detailed procedure to find GCD of 117, 309, 953?

You can find a detailed procedure to find GCD of 117, 309, 953 on our page.

3. How to find GCD of 117, 309, 953 on a calculator?

You can find the GCD of 117, 309, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.