GCD of 753, 792, 363 Calculator

Given Input numbers are 753, 792, 363

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 753, 792, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 792, 363 is 3.

Therefore, GCD of numbers 753, 792, 363 is 3

Given Input Data is 753, 792, 363

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

Prime Factorization of 753 is 3 x 251

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

Prime Factorization of 363 is 3 x 11 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(753, 792) = 198792

GCD(753, 792) = ( 753 x 792 ) / 198792

GCD(753, 792) = 596376 / 198792

GCD(753, 792) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 363

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

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

GCD(3, 363) = 1089 / 363

GCD(3, 363) = 3

GCD of 753, 792, 363 is 3

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1. What is the GCD of 753, 792, 363?

GCD of 753, 792, 363 is 3

2. Where do I get the detailed procedure to find GCD of 753, 792, 363?

You can find a detailed procedure to find GCD of 753, 792, 363 on our page.

3. How to find GCD of 753, 792, 363 on a calculator?

You can find the GCD of 753, 792, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.