GCD of 814, 775, 956 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, 775, 956 i.e. 1 largest integer that divides all the numbers equally.

GCD of 814, 775, 956 is 1

GCD(814, 775, 956) = 1

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

GCD of

GCD of numbers 814, 775, 956 is 1

GCD(814, 775, 956) = 1

GCD of 814,775,956 Calculator

GCDof 814,775,956 is 1

Given Input numbers are 814, 775, 956

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 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 814, 775, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 775, 956 is 1.

Therefore, GCD of numbers 814, 775, 956 is 1

Finding GCD of 814, 775, 956 using Prime Factorization

Given Input Data is 814, 775, 956

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 775 is 5 x 5 x 31

Prime Factorization of 956 is 2 x 2 x 239

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

Finding GCD of 814, 775, 956 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, 775) = 630850

GCD(814, 775) = ( 814 x 775 ) / 630850

GCD(814, 775) = 630850 / 630850

GCD(814, 775) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 814, 775, 956 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 814, 775, 956

1. What is the GCD of 814, 775, 956?

GCD of 814, 775, 956 is 1


2. Where do I get the detailed procedure to find GCD of 814, 775, 956?

You can find a detailed procedure to find GCD of 814, 775, 956 on our page.


3. How to find GCD of 814, 775, 956 on a calculator?

You can find the GCD of 814, 775, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.