GCD of 103, 816, 827 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 103, 816, 827 i.e. 1 largest integer that divides all the numbers equally.

GCD of 103, 816, 827 is 1

GCD(103, 816, 827) = 1

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

GCD of

GCD of numbers 103, 816, 827 is 1

GCD(103, 816, 827) = 1

GCD of 103,816,827 Calculator

GCDof 103,816,827 is 1

Given Input numbers are 103, 816, 827

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 103, 816, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 816, 827 is 1.

Therefore, GCD of numbers 103, 816, 827 is 1

Finding GCD of 103, 816, 827 using Prime Factorization

Given Input Data is 103, 816, 827

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

Prime Factorization of 103 is 103

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 827 is 827

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

Finding GCD of 103, 816, 827 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(103, 816) = 84048

GCD(103, 816) = ( 103 x 816 ) / 84048

GCD(103, 816) = 84048 / 84048

GCD(103, 816) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 103, 816, 827 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 103, 816, 827

1. What is the GCD of 103, 816, 827?

GCD of 103, 816, 827 is 1


2. Where do I get the detailed procedure to find GCD of 103, 816, 827?

You can find a detailed procedure to find GCD of 103, 816, 827 on our page.


3. How to find GCD of 103, 816, 827 on a calculator?

You can find the GCD of 103, 816, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.