GCD of 716, 120, 796 Calculator

Given Input numbers are 716, 120, 796

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 716, 120, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 120, 796 is 4.

Therefore, GCD of numbers 716, 120, 796 is 4

Given Input Data is 716, 120, 796

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 796 is 2 x 2 x 199

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(716, 120) = 21480

GCD(716, 120) = ( 716 x 120 ) / 21480

GCD(716, 120) = 85920 / 21480

GCD(716, 120) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 796

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

LCM(4, 796) = 796

GCD(4, 796) = ( 4 x 796 ) / 796

GCD(4, 796) = 3184 / 796

GCD(4, 796) = 4

GCD of 716, 120, 796 is 4

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1. What is the GCD of 716, 120, 796?

GCD of 716, 120, 796 is 4

2. Where do I get the detailed procedure to find GCD of 716, 120, 796?

You can find a detailed procedure to find GCD of 716, 120, 796 on our page.

3. How to find GCD of 716, 120, 796 on a calculator?

You can find the GCD of 716, 120, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.