GCD of 816, 385, 51, 277 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 816, 385, 51, 277 i.e. 1 largest integer that divides all the numbers equally.

GCD of 816, 385, 51, 277 is 1

GCD(816, 385, 51, 277) = 1

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

GCD of

GCD of numbers 816, 385, 51, 277 is 1

GCD(816, 385, 51, 277) = 1

GCD of 816,385,51,277 Calculator

GCDof 816,385,51,277 is 1

Given Input numbers are 816, 385, 51, 277

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 816, 385, 51, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 385, 51, 277 is 1.

Therefore, GCD of numbers 816, 385, 51, 277 is 1

Finding GCD of 816, 385, 51, 277 using Prime Factorization

Given Input Data is 816, 385, 51, 277

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 51 is 3 x 17

Prime Factorization of 277 is 277

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

Finding GCD of 816, 385, 51, 277 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(816, 385) = 314160

GCD(816, 385) = ( 816 x 385 ) / 314160

GCD(816, 385) = 314160 / 314160

GCD(816, 385) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 277

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

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

GCD(1, 277) = 277 / 277

GCD(1, 277) = 1

GCD of 816, 385, 51, 277 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 816, 385, 51, 277

1. What is the GCD of 816, 385, 51, 277?

GCD of 816, 385, 51, 277 is 1


2. Where do I get the detailed procedure to find GCD of 816, 385, 51, 277?

You can find a detailed procedure to find GCD of 816, 385, 51, 277 on our page.


3. How to find GCD of 816, 385, 51, 277 on a calculator?

You can find the GCD of 816, 385, 51, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.