GCD of 796, 192, 300, 688 Calculator

Given Input numbers are 796, 192, 300, 688

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

Divisors of 796

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

1, 2, 4, 199, 398, 796

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 796, 192, 300, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 192, 300, 688 is 4.

Therefore, GCD of numbers 796, 192, 300, 688 is 4

Given Input Data is 796, 192, 300, 688

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(796, 192) = 38208

GCD(796, 192) = ( 796 x 192 ) / 38208

GCD(796, 192) = 152832 / 38208

GCD(796, 192) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 300

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

LCM(4, 300) = 300

GCD(4, 300) = ( 4 x 300 ) / 300

GCD(4, 300) = 1200 / 300

GCD(4, 300) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 688

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

LCM(4, 688) = 688

GCD(4, 688) = ( 4 x 688 ) / 688

GCD(4, 688) = 2752 / 688

GCD(4, 688) = 4

GCD of 796, 192, 300, 688 is 4

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1. What is the GCD of 796, 192, 300, 688?

GCD of 796, 192, 300, 688 is 4

2. Where do I get the detailed procedure to find GCD of 796, 192, 300, 688?

You can find a detailed procedure to find GCD of 796, 192, 300, 688 on our page.

3. How to find GCD of 796, 192, 300, 688 on a calculator?

You can find the GCD of 796, 192, 300, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.