GCD of 748, 843, 792, 499 Calculator

Given Input numbers are 748, 843, 792, 499

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

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 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 748, 843, 792, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 843, 792, 499 is 1.

Therefore, GCD of numbers 748, 843, 792, 499 is 1

Given Input Data is 748, 843, 792, 499

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 843 is 3 x 281

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

Prime Factorization of 499 is 499

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

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(748, 843) = 630564

GCD(748, 843) = ( 748 x 843 ) / 630564

GCD(748, 843) = 630564 / 630564

GCD(748, 843) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 748, 843, 792, 499 is 1

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1. What is the GCD of 748, 843, 792, 499?

GCD of 748, 843, 792, 499 is 1

2. Where do I get the detailed procedure to find GCD of 748, 843, 792, 499?

You can find a detailed procedure to find GCD of 748, 843, 792, 499 on our page.

3. How to find GCD of 748, 843, 792, 499 on a calculator?

You can find the GCD of 748, 843, 792, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.