GCD of 695, 656, 27, 742 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 695, 656, 27, 742 i.e. 1 largest integer that divides all the numbers equally.

GCD of 695, 656, 27, 742 is 1

GCD(695, 656, 27, 742) = 1

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

GCD of

GCD of numbers 695, 656, 27, 742 is 1

GCD(695, 656, 27, 742) = 1

GCD of 695,656,27,742 Calculator

GCDof 695,656,27,742 is 1

Given Input numbers are 695, 656, 27, 742

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

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 695, 656, 27, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 656, 27, 742 is 1.

Therefore, GCD of numbers 695, 656, 27, 742 is 1

Finding GCD of 695, 656, 27, 742 using Prime Factorization

Given Input Data is 695, 656, 27, 742

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 742 is 2 x 7 x 53

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

Finding GCD of 695, 656, 27, 742 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(695, 656) = 455920

GCD(695, 656) = ( 695 x 656 ) / 455920

GCD(695, 656) = 455920 / 455920

GCD(695, 656) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 695, 656, 27, 742 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 695, 656, 27, 742

1. What is the GCD of 695, 656, 27, 742?

GCD of 695, 656, 27, 742 is 1


2. Where do I get the detailed procedure to find GCD of 695, 656, 27, 742?

You can find a detailed procedure to find GCD of 695, 656, 27, 742 on our page.


3. How to find GCD of 695, 656, 27, 742 on a calculator?

You can find the GCD of 695, 656, 27, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.