GCD of 709, 809, 85, 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 709, 809, 85, 827 i.e. 1 largest integer that divides all the numbers equally.

GCD of 709, 809, 85, 827 is 1

GCD(709, 809, 85, 827) = 1

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

GCD of

GCD of numbers 709, 809, 85, 827 is 1

GCD(709, 809, 85, 827) = 1

GCD of 709,809,85,827 Calculator

GCDof 709,809,85,827 is 1

Given Input numbers are 709, 809, 85, 827

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

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 709, 809, 85, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 809, 85, 827 is 1.

Therefore, GCD of numbers 709, 809, 85, 827 is 1

Finding GCD of 709, 809, 85, 827 using Prime Factorization

Given Input Data is 709, 809, 85, 827

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

Prime Factorization of 709 is 709

Prime Factorization of 809 is 809

Prime Factorization of 85 is 5 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 709, 809, 85, 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(709, 809) = 573581

GCD(709, 809) = ( 709 x 809 ) / 573581

GCD(709, 809) = 573581 / 573581

GCD(709, 809) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1


Step3:

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 709, 809, 85, 827 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 709, 809, 85, 827

1. What is the GCD of 709, 809, 85, 827?

GCD of 709, 809, 85, 827 is 1


2. Where do I get the detailed procedure to find GCD of 709, 809, 85, 827?

You can find a detailed procedure to find GCD of 709, 809, 85, 827 on our page.


3. How to find GCD of 709, 809, 85, 827 on a calculator?

You can find the GCD of 709, 809, 85, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.