GCD of 750, 243, 85, 792 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 750, 243, 85, 792 i.e. 1 largest integer that divides all the numbers equally.

GCD of 750, 243, 85, 792 is 1

GCD(750, 243, 85, 792) = 1

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

GCD of

GCD of numbers 750, 243, 85, 792 is 1

GCD(750, 243, 85, 792) = 1

GCD of 750,243,85,792 Calculator

GCDof 750,243,85,792 is 1

Given Input numbers are 750, 243, 85, 792

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 750, 243, 85, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 243, 85, 792 is 1.

Therefore, GCD of numbers 750, 243, 85, 792 is 1

Finding GCD of 750, 243, 85, 792 using Prime Factorization

Given Input Data is 750, 243, 85, 792

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 85 is 5 x 17

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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

Finding GCD of 750, 243, 85, 792 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(750, 243) = 60750

GCD(750, 243) = ( 750 x 243 ) / 60750

GCD(750, 243) = 182250 / 60750

GCD(750, 243) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

GCD of 750, 243, 85, 792 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 750, 243, 85, 792

1. What is the GCD of 750, 243, 85, 792?

GCD of 750, 243, 85, 792 is 1


2. Where do I get the detailed procedure to find GCD of 750, 243, 85, 792?

You can find a detailed procedure to find GCD of 750, 243, 85, 792 on our page.


3. How to find GCD of 750, 243, 85, 792 on a calculator?

You can find the GCD of 750, 243, 85, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.