GCD of 102, 733, 992, 796 Calculator

Given Input numbers are 102, 733, 992, 796

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 733

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

1, 733

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 102, 733, 992, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 733, 992, 796 is 1.

Therefore, GCD of numbers 102, 733, 992, 796 is 1

Given Input Data is 102, 733, 992, 796

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 733 is 733

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 796 is 2 x 2 x 199

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(102, 733) = 74766

GCD(102, 733) = ( 102 x 733 ) / 74766

GCD(102, 733) = 74766 / 74766

GCD(102, 733) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 102, 733, 992, 796 is 1

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1. What is the GCD of 102, 733, 992, 796?

GCD of 102, 733, 992, 796 is 1

2. Where do I get the detailed procedure to find GCD of 102, 733, 992, 796?

You can find a detailed procedure to find GCD of 102, 733, 992, 796 on our page.

3. How to find GCD of 102, 733, 992, 796 on a calculator?

You can find the GCD of 102, 733, 992, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.