GCD of 365, 691, 412, 896 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 365, 691, 412, 896 i.e. 1 largest integer that divides all the numbers equally.

GCD of 365, 691, 412, 896 is 1

GCD(365, 691, 412, 896) = 1

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

GCD of

GCD of numbers 365, 691, 412, 896 is 1

GCD(365, 691, 412, 896) = 1

GCD of 365,691,412,896 Calculator

GCDof 365,691,412,896 is 1

Given Input numbers are 365, 691, 412, 896

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 365, 691, 412, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 691, 412, 896 is 1.

Therefore, GCD of numbers 365, 691, 412, 896 is 1

Finding GCD of 365, 691, 412, 896 using Prime Factorization

Given Input Data is 365, 691, 412, 896

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 691 is 691

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Finding GCD of 365, 691, 412, 896 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(365, 691) = 252215

GCD(365, 691) = ( 365 x 691 ) / 252215

GCD(365, 691) = 252215 / 252215

GCD(365, 691) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 365, 691, 412, 896 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 365, 691, 412, 896

1. What is the GCD of 365, 691, 412, 896?

GCD of 365, 691, 412, 896 is 1


2. Where do I get the detailed procedure to find GCD of 365, 691, 412, 896?

You can find a detailed procedure to find GCD of 365, 691, 412, 896 on our page.


3. How to find GCD of 365, 691, 412, 896 on a calculator?

You can find the GCD of 365, 691, 412, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.