GCD of 407, 113, 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 407, 113, 782 i.e. 1 largest integer that divides all the numbers equally.

GCD of 407, 113, 782 is 1

GCD(407, 113, 782) = 1

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

GCD of

GCD of numbers 407, 113, 782 is 1

GCD(407, 113, 782) = 1

GCD of 407,113,782 Calculator

GCDof 407,113,782 is 1

Given Input numbers are 407, 113, 782

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

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 407, 113, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 113, 782 is 1.

Therefore, GCD of numbers 407, 113, 782 is 1

Finding GCD of 407, 113, 782 using Prime Factorization

Given Input Data is 407, 113, 782

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 113 is 113

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 407, 113, 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(407, 113) = 45991

GCD(407, 113) = ( 407 x 113 ) / 45991

GCD(407, 113) = 45991 / 45991

GCD(407, 113) = 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 407, 113, 782 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 407, 113, 782

1. What is the GCD of 407, 113, 782?

GCD of 407, 113, 782 is 1

2. Where do I get the detailed procedure to find GCD of 407, 113, 782?

You can find a detailed procedure to find GCD of 407, 113, 782 on our page.

3. How to find GCD of 407, 113, 782 on a calculator?

You can find the GCD of 407, 113, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.