GCD of 713, 182, 470, 648 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 713, 182, 470, 648 i.e. 1 largest integer that divides all the numbers equally.

GCD of 713, 182, 470, 648 is 1

GCD(713, 182, 470, 648) = 1

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

GCD of

GCD of numbers 713, 182, 470, 648 is 1

GCD(713, 182, 470, 648) = 1

GCD of 713,182,470,648 Calculator

GCDof 713,182,470,648 is 1

Given Input numbers are 713, 182, 470, 648

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 713, 182, 470, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 182, 470, 648 is 1.

Therefore, GCD of numbers 713, 182, 470, 648 is 1

Finding GCD of 713, 182, 470, 648 using Prime Factorization

Given Input Data is 713, 182, 470, 648

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Finding GCD of 713, 182, 470, 648 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(713, 182) = 129766

GCD(713, 182) = ( 713 x 182 ) / 129766

GCD(713, 182) = 129766 / 129766

GCD(713, 182) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 713, 182, 470, 648 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 713, 182, 470, 648

1. What is the GCD of 713, 182, 470, 648?

GCD of 713, 182, 470, 648 is 1


2. Where do I get the detailed procedure to find GCD of 713, 182, 470, 648?

You can find a detailed procedure to find GCD of 713, 182, 470, 648 on our page.


3. How to find GCD of 713, 182, 470, 648 on a calculator?

You can find the GCD of 713, 182, 470, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.