GCD of 748, 994, 733 Calculator

Given Input numbers are 748, 994, 733

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 748, 994, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 994, 733 is 1.

Therefore, GCD of numbers 748, 994, 733 is 1

Given Input Data is 748, 994, 733

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 994 is 2 x 7 x 71

Prime Factorization of 733 is 733

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, 994) = 371756

GCD(748, 994) = ( 748 x 994 ) / 371756

GCD(748, 994) = 743512 / 371756

GCD(748, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 733

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

LCM(2, 733) = 1466

GCD(2, 733) = ( 2 x 733 ) / 1466

GCD(2, 733) = 1466 / 1466

GCD(2, 733) = 1

GCD of 748, 994, 733 is 1

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1. What is the GCD of 748, 994, 733?

GCD of 748, 994, 733 is 1

2. Where do I get the detailed procedure to find GCD of 748, 994, 733?

You can find a detailed procedure to find GCD of 748, 994, 733 on our page.

3. How to find GCD of 748, 994, 733 on a calculator?

You can find the GCD of 748, 994, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.