GCD of 660, 685, 41, 706 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 660, 685, 41, 706 i.e. 1 largest integer that divides all the numbers equally.

GCD of 660, 685, 41, 706 is 1

GCD(660, 685, 41, 706) = 1

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

GCD of

GCD of numbers 660, 685, 41, 706 is 1

GCD(660, 685, 41, 706) = 1

GCD of 660,685,41,706 Calculator

GCDof 660,685,41,706 is 1

Given Input numbers are 660, 685, 41, 706

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 660, 685, 41, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 685, 41, 706 is 1.

Therefore, GCD of numbers 660, 685, 41, 706 is 1

Finding GCD of 660, 685, 41, 706 using Prime Factorization

Given Input Data is 660, 685, 41, 706

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 685 is 5 x 137

Prime Factorization of 41 is 41

Prime Factorization of 706 is 2 x 353

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

Finding GCD of 660, 685, 41, 706 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(660, 685) = 90420

GCD(660, 685) = ( 660 x 685 ) / 90420

GCD(660, 685) = 452100 / 90420

GCD(660, 685) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 41

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

LCM(5, 41) = 205

GCD(5, 41) = ( 5 x 41 ) / 205

GCD(5, 41) = 205 / 205

GCD(5, 41) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 660, 685, 41, 706 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 660, 685, 41, 706

1. What is the GCD of 660, 685, 41, 706?

GCD of 660, 685, 41, 706 is 1


2. Where do I get the detailed procedure to find GCD of 660, 685, 41, 706?

You can find a detailed procedure to find GCD of 660, 685, 41, 706 on our page.


3. How to find GCD of 660, 685, 41, 706 on a calculator?

You can find the GCD of 660, 685, 41, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.