GCD of 814, 251, 36 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 814, 251, 36 i.e. 1 largest integer that divides all the numbers equally.

GCD of 814, 251, 36 is 1

GCD(814, 251, 36) = 1

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

GCD of

GCD of numbers 814, 251, 36 is 1

GCD(814, 251, 36) = 1

GCD of 814,251,36 Calculator

GCDof 814,251,36 is 1

Given Input numbers are 814, 251, 36

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest Common Divisior

We found the divisors of 814, 251, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 251, 36 is 1.

Therefore, GCD of numbers 814, 251, 36 is 1

Finding GCD of 814, 251, 36 using Prime Factorization

Given Input Data is 814, 251, 36

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 251 is 251

Prime Factorization of 36 is 2 x 2 x 3 x 3

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

Finding GCD of 814, 251, 36 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(814, 251) = 204314

GCD(814, 251) = ( 814 x 251 ) / 204314

GCD(814, 251) = 204314 / 204314

GCD(814, 251) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

GCD of 814, 251, 36 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 814, 251, 36

1. What is the GCD of 814, 251, 36?

GCD of 814, 251, 36 is 1


2. Where do I get the detailed procedure to find GCD of 814, 251, 36?

You can find a detailed procedure to find GCD of 814, 251, 36 on our page.


3. How to find GCD of 814, 251, 36 on a calculator?

You can find the GCD of 814, 251, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.