GCD of 809, 350, 87, 985 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 809, 350, 87, 985 i.e. 1 largest integer that divides all the numbers equally.

GCD of 809, 350, 87, 985 is 1

GCD(809, 350, 87, 985) = 1

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

GCD of

GCD of numbers 809, 350, 87, 985 is 1

GCD(809, 350, 87, 985) = 1

GCD of 809,350,87,985 Calculator

GCDof 809,350,87,985 is 1

Given Input numbers are 809, 350, 87, 985

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

Divisors of 809

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

1, 809

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 809, 350, 87, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 350, 87, 985 is 1.

Therefore, GCD of numbers 809, 350, 87, 985 is 1

Finding GCD of 809, 350, 87, 985 using Prime Factorization

Given Input Data is 809, 350, 87, 985

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

Prime Factorization of 809 is 809

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 87 is 3 x 29

Prime Factorization of 985 is 5 x 197

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

Finding GCD of 809, 350, 87, 985 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(809, 350) = 283150

GCD(809, 350) = ( 809 x 350 ) / 283150

GCD(809, 350) = 283150 / 283150

GCD(809, 350) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

GCD of 809, 350, 87, 985 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 809, 350, 87, 985

1. What is the GCD of 809, 350, 87, 985?

GCD of 809, 350, 87, 985 is 1


2. Where do I get the detailed procedure to find GCD of 809, 350, 87, 985?

You can find a detailed procedure to find GCD of 809, 350, 87, 985 on our page.


3. How to find GCD of 809, 350, 87, 985 on a calculator?

You can find the GCD of 809, 350, 87, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.