GCD of 800, 466, 785 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 800, 466, 785 i.e. 1 largest integer that divides all the numbers equally.

GCD of 800, 466, 785 is 1

GCD(800, 466, 785) = 1

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

GCD of

GCD of numbers 800, 466, 785 is 1

GCD(800, 466, 785) = 1

GCD of 800,466,785 Calculator

GCDof 800,466,785 is 1

Given Input numbers are 800, 466, 785

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 800, 466, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 466, 785 is 1.

Therefore, GCD of numbers 800, 466, 785 is 1

Finding GCD of 800, 466, 785 using Prime Factorization

Given Input Data is 800, 466, 785

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 466 is 2 x 233

Prime Factorization of 785 is 5 x 157

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

Finding GCD of 800, 466, 785 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(800, 466) = 186400

GCD(800, 466) = ( 800 x 466 ) / 186400

GCD(800, 466) = 372800 / 186400

GCD(800, 466) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 785

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

LCM(2, 785) = 1570

GCD(2, 785) = ( 2 x 785 ) / 1570

GCD(2, 785) = 1570 / 1570

GCD(2, 785) = 1

GCD of 800, 466, 785 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 800, 466, 785

1. What is the GCD of 800, 466, 785?

GCD of 800, 466, 785 is 1


2. Where do I get the detailed procedure to find GCD of 800, 466, 785?

You can find a detailed procedure to find GCD of 800, 466, 785 on our page.


3. How to find GCD of 800, 466, 785 on a calculator?

You can find the GCD of 800, 466, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.