GCD of 46, 437, 329, 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 46, 437, 329, 782 i.e. 1 largest integer that divides all the numbers equally.

GCD of 46, 437, 329, 782 is 1

GCD(46, 437, 329, 782) = 1

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

GCD of

GCD of numbers 46, 437, 329, 782 is 1

GCD(46, 437, 329, 782) = 1

GCD of 46,437,329,782 Calculator

GCDof 46,437,329,782 is 1

Given Input numbers are 46, 437, 329, 782

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

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 46, 437, 329, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 437, 329, 782 is 1.

Therefore, GCD of numbers 46, 437, 329, 782 is 1

Finding GCD of 46, 437, 329, 782 using Prime Factorization

Given Input Data is 46, 437, 329, 782

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 437 is 19 x 23

Prime Factorization of 329 is 7 x 47

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 46, 437, 329, 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(46, 437) = 874

GCD(46, 437) = ( 46 x 437 ) / 874

GCD(46, 437) = 20102 / 874

GCD(46, 437) = 23


Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 329

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

LCM(23, 329) = 7567

GCD(23, 329) = ( 23 x 329 ) / 7567

GCD(23, 329) = 7567 / 7567

GCD(23, 329) = 1


Step3:

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 46, 437, 329, 782 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 46, 437, 329, 782

1. What is the GCD of 46, 437, 329, 782?

GCD of 46, 437, 329, 782 is 1


2. Where do I get the detailed procedure to find GCD of 46, 437, 329, 782?

You can find a detailed procedure to find GCD of 46, 437, 329, 782 on our page.


3. How to find GCD of 46, 437, 329, 782 on a calculator?

You can find the GCD of 46, 437, 329, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.