GCD of 288, 777, 103, 252 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 288, 777, 103, 252 i.e. 1 largest integer that divides all the numbers equally.

GCD of 288, 777, 103, 252 is 1

GCD(288, 777, 103, 252) = 1

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

GCD of

GCD of numbers 288, 777, 103, 252 is 1

GCD(288, 777, 103, 252) = 1

GCD of 288,777,103,252 Calculator

GCDof 288,777,103,252 is 1

Given Input numbers are 288, 777, 103, 252

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 288, 777, 103, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 777, 103, 252 is 1.

Therefore, GCD of numbers 288, 777, 103, 252 is 1

Finding GCD of 288, 777, 103, 252 using Prime Factorization

Given Input Data is 288, 777, 103, 252

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 103 is 103

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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

Finding GCD of 288, 777, 103, 252 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(288, 777) = 74592

GCD(288, 777) = ( 288 x 777 ) / 74592

GCD(288, 777) = 223776 / 74592

GCD(288, 777) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 103

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

LCM(3, 103) = 309

GCD(3, 103) = ( 3 x 103 ) / 309

GCD(3, 103) = 309 / 309

GCD(3, 103) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 288, 777, 103, 252 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 288, 777, 103, 252

1. What is the GCD of 288, 777, 103, 252?

GCD of 288, 777, 103, 252 is 1


2. Where do I get the detailed procedure to find GCD of 288, 777, 103, 252?

You can find a detailed procedure to find GCD of 288, 777, 103, 252 on our page.


3. How to find GCD of 288, 777, 103, 252 on a calculator?

You can find the GCD of 288, 777, 103, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.