GCD of 810, 310, 117 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 810, 310, 117 i.e. 1 largest integer that divides all the numbers equally.

GCD of 810, 310, 117 is 1

GCD(810, 310, 117) = 1

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

GCD of

GCD of numbers 810, 310, 117 is 1

GCD(810, 310, 117) = 1

GCD of 810,310,117 Calculator

GCDof 810,310,117 is 1

Given Input numbers are 810, 310, 117

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 117

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

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 810, 310, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 310, 117 is 1.

Therefore, GCD of numbers 810, 310, 117 is 1

Finding GCD of 810, 310, 117 using Prime Factorization

Given Input Data is 810, 310, 117

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 117 is 3 x 3 x 13

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

Finding GCD of 810, 310, 117 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(810, 310) = 25110

GCD(810, 310) = ( 810 x 310 ) / 25110

GCD(810, 310) = 251100 / 25110

GCD(810, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 117

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

LCM(10, 117) = 1170

GCD(10, 117) = ( 10 x 117 ) / 1170

GCD(10, 117) = 1170 / 1170

GCD(10, 117) = 1

GCD of 810, 310, 117 is 1

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FAQs on GCD of numbers 810, 310, 117

1. What is the GCD of 810, 310, 117?

GCD of 810, 310, 117 is 1

2. Where do I get the detailed procedure to find GCD of 810, 310, 117?

You can find a detailed procedure to find GCD of 810, 310, 117 on our page.

3. How to find GCD of 810, 310, 117 on a calculator?

You can find the GCD of 810, 310, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.