GCD of 395, 431, 741, 682 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 395, 431, 741, 682 i.e. 1 largest integer that divides all the numbers equally.

GCD of 395, 431, 741, 682 is 1

GCD(395, 431, 741, 682) = 1

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

GCD of

GCD of numbers 395, 431, 741, 682 is 1

GCD(395, 431, 741, 682) = 1

GCD of 395,431,741,682 Calculator

GCDof 395,431,741,682 is 1

Given Input numbers are 395, 431, 741, 682

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 395, 431, 741, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 431, 741, 682 is 1.

Therefore, GCD of numbers 395, 431, 741, 682 is 1

Finding GCD of 395, 431, 741, 682 using Prime Factorization

Given Input Data is 395, 431, 741, 682

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 431 is 431

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 682 is 2 x 11 x 31

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

Finding GCD of 395, 431, 741, 682 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(395, 431) = 170245

GCD(395, 431) = ( 395 x 431 ) / 170245

GCD(395, 431) = 170245 / 170245

GCD(395, 431) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 395, 431, 741, 682 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 395, 431, 741, 682

1. What is the GCD of 395, 431, 741, 682?

GCD of 395, 431, 741, 682 is 1


2. Where do I get the detailed procedure to find GCD of 395, 431, 741, 682?

You can find a detailed procedure to find GCD of 395, 431, 741, 682 on our page.


3. How to find GCD of 395, 431, 741, 682 on a calculator?

You can find the GCD of 395, 431, 741, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.