GCD of 712, 940, 91, 291 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 712, 940, 91, 291 i.e. 1 largest integer that divides all the numbers equally.

GCD of 712, 940, 91, 291 is 1

GCD(712, 940, 91, 291) = 1

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

GCD of

GCD of numbers 712, 940, 91, 291 is 1

GCD(712, 940, 91, 291) = 1

GCD of 712,940,91,291 Calculator

GCDof 712,940,91,291 is 1

Given Input numbers are 712, 940, 91, 291

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 712, 940, 91, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 940, 91, 291 is 1.

Therefore, GCD of numbers 712, 940, 91, 291 is 1

Finding GCD of 712, 940, 91, 291 using Prime Factorization

Given Input Data is 712, 940, 91, 291

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 91 is 7 x 13

Prime Factorization of 291 is 3 x 97

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

Finding GCD of 712, 940, 91, 291 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(712, 940) = 167320

GCD(712, 940) = ( 712 x 940 ) / 167320

GCD(712, 940) = 669280 / 167320

GCD(712, 940) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 91

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

LCM(4, 91) = 364

GCD(4, 91) = ( 4 x 91 ) / 364

GCD(4, 91) = 364 / 364

GCD(4, 91) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 712, 940, 91, 291 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 712, 940, 91, 291

1. What is the GCD of 712, 940, 91, 291?

GCD of 712, 940, 91, 291 is 1


2. Where do I get the detailed procedure to find GCD of 712, 940, 91, 291?

You can find a detailed procedure to find GCD of 712, 940, 91, 291 on our page.


3. How to find GCD of 712, 940, 91, 291 on a calculator?

You can find the GCD of 712, 940, 91, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.