GCD of 959, 705, 40, 397 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 959, 705, 40, 397 i.e. 1 largest integer that divides all the numbers equally.

GCD of 959, 705, 40, 397 is 1

GCD(959, 705, 40, 397) = 1

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

GCD of

GCD of numbers 959, 705, 40, 397 is 1

GCD(959, 705, 40, 397) = 1

GCD of 959,705,40,397 Calculator

GCDof 959,705,40,397 is 1

Given Input numbers are 959, 705, 40, 397

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

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 959, 705, 40, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 705, 40, 397 is 1.

Therefore, GCD of numbers 959, 705, 40, 397 is 1

Finding GCD of 959, 705, 40, 397 using Prime Factorization

Given Input Data is 959, 705, 40, 397

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 397 is 397

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

Finding GCD of 959, 705, 40, 397 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(959, 705) = 676095

GCD(959, 705) = ( 959 x 705 ) / 676095

GCD(959, 705) = 676095 / 676095

GCD(959, 705) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 959, 705, 40, 397 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 959, 705, 40, 397

1. What is the GCD of 959, 705, 40, 397?

GCD of 959, 705, 40, 397 is 1


2. Where do I get the detailed procedure to find GCD of 959, 705, 40, 397?

You can find a detailed procedure to find GCD of 959, 705, 40, 397 on our page.


3. How to find GCD of 959, 705, 40, 397 on a calculator?

You can find the GCD of 959, 705, 40, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.