GCD of 711, 400, 782 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 711, 400, 782 i.e. 1 largest integer that divides all the numbers equally.

GCD of 711, 400, 782 is 1

GCD(711, 400, 782) = 1

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

GCD of

GCD of numbers 711, 400, 782 is 1

GCD(711, 400, 782) = 1

GCD of 711,400,782 Calculator

GCDof 711,400,782 is 1

Given Input numbers are 711, 400, 782

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

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 711, 400, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 400, 782 is 1.

Therefore, GCD of numbers 711, 400, 782 is 1

Finding GCD of 711, 400, 782 using Prime Factorization

Given Input Data is 711, 400, 782

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

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 782 is 2 x 17 x 23

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

Finding GCD of 711, 400, 782 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(711, 400) = 284400

GCD(711, 400) = ( 711 x 400 ) / 284400

GCD(711, 400) = 284400 / 284400

GCD(711, 400) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 711, 400, 782 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 711, 400, 782

1. What is the GCD of 711, 400, 782?

GCD of 711, 400, 782 is 1


2. Where do I get the detailed procedure to find GCD of 711, 400, 782?

You can find a detailed procedure to find GCD of 711, 400, 782 on our page.


3. How to find GCD of 711, 400, 782 on a calculator?

You can find the GCD of 711, 400, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.