GCD of 814, 771, 15, 711 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, 771, 15, 711 i.e. 1 largest integer that divides all the numbers equally.

GCD of 814, 771, 15, 711 is 1

GCD(814, 771, 15, 711) = 1

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

GCD of

GCD of numbers 814, 771, 15, 711 is 1

GCD(814, 771, 15, 711) = 1

GCD of 814,771,15,711 Calculator

GCDof 814,771,15,711 is 1

Given Input numbers are 814, 771, 15, 711

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 814, 771, 15, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 771, 15, 711 is 1.

Therefore, GCD of numbers 814, 771, 15, 711 is 1

Finding GCD of 814, 771, 15, 711 using Prime Factorization

Given Input Data is 814, 771, 15, 711

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 771 is 3 x 257

Prime Factorization of 15 is 3 x 5

Prime Factorization of 711 is 3 x 3 x 79

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

Finding GCD of 814, 771, 15, 711 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, 771) = 627594

GCD(814, 771) = ( 814 x 771 ) / 627594

GCD(814, 771) = 627594 / 627594

GCD(814, 771) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 711

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

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

GCD(1, 711) = 711 / 711

GCD(1, 711) = 1

GCD of 814, 771, 15, 711 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 814, 771, 15, 711

1. What is the GCD of 814, 771, 15, 711?

GCD of 814, 771, 15, 711 is 1


2. Where do I get the detailed procedure to find GCD of 814, 771, 15, 711?

You can find a detailed procedure to find GCD of 814, 771, 15, 711 on our page.


3. How to find GCD of 814, 771, 15, 711 on a calculator?

You can find the GCD of 814, 771, 15, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.