GCD of 827, 647, 23, 318 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 827, 647, 23, 318 i.e. 1 largest integer that divides all the numbers equally.

GCD of 827, 647, 23, 318 is 1

GCD(827, 647, 23, 318) = 1

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

GCD of

GCD of numbers 827, 647, 23, 318 is 1

GCD(827, 647, 23, 318) = 1

GCD of 827,647,23,318 Calculator

GCDof 827,647,23,318 is 1

Given Input numbers are 827, 647, 23, 318

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

Divisors of 827

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

1, 827

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 827, 647, 23, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 647, 23, 318 is 1.

Therefore, GCD of numbers 827, 647, 23, 318 is 1

Finding GCD of 827, 647, 23, 318 using Prime Factorization

Given Input Data is 827, 647, 23, 318

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

Prime Factorization of 827 is 827

Prime Factorization of 647 is 647

Prime Factorization of 23 is 23

Prime Factorization of 318 is 2 x 3 x 53

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

Finding GCD of 827, 647, 23, 318 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(827, 647) = 535069

GCD(827, 647) = ( 827 x 647 ) / 535069

GCD(827, 647) = 535069 / 535069

GCD(827, 647) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 827, 647, 23, 318 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 827, 647, 23, 318

1. What is the GCD of 827, 647, 23, 318?

GCD of 827, 647, 23, 318 is 1


2. Where do I get the detailed procedure to find GCD of 827, 647, 23, 318?

You can find a detailed procedure to find GCD of 827, 647, 23, 318 on our page.


3. How to find GCD of 827, 647, 23, 318 on a calculator?

You can find the GCD of 827, 647, 23, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.