GCD of 745, 477, 378, 288 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 745, 477, 378, 288 i.e. 1 largest integer that divides all the numbers equally.

GCD of 745, 477, 378, 288 is 1

GCD(745, 477, 378, 288) = 1

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

GCD of

GCD of numbers 745, 477, 378, 288 is 1

GCD(745, 477, 378, 288) = 1

GCD of 745,477,378,288 Calculator

GCDof 745,477,378,288 is 1

Given Input numbers are 745, 477, 378, 288

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

Greatest Common Divisior

We found the divisors of 745, 477, 378, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 477, 378, 288 is 1.

Therefore, GCD of numbers 745, 477, 378, 288 is 1

Finding GCD of 745, 477, 378, 288 using Prime Factorization

Given Input Data is 745, 477, 378, 288

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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

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

Finding GCD of 745, 477, 378, 288 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(745, 477) = 355365

GCD(745, 477) = ( 745 x 477 ) / 355365

GCD(745, 477) = 355365 / 355365

GCD(745, 477) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 745, 477, 378, 288 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 745, 477, 378, 288

1. What is the GCD of 745, 477, 378, 288?

GCD of 745, 477, 378, 288 is 1


2. Where do I get the detailed procedure to find GCD of 745, 477, 378, 288?

You can find a detailed procedure to find GCD of 745, 477, 378, 288 on our page.


3. How to find GCD of 745, 477, 378, 288 on a calculator?

You can find the GCD of 745, 477, 378, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.