GCD of 798, 516, 710, 944 Calculator

Given Input numbers are 798, 516, 710, 944

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 798, 516, 710, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 516, 710, 944 is 2.

Therefore, GCD of numbers 798, 516, 710, 944 is 2

Given Input Data is 798, 516, 710, 944

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(798, 516) = 68628

GCD(798, 516) = ( 798 x 516 ) / 68628

GCD(798, 516) = 411768 / 68628

GCD(798, 516) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 710

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

LCM(6, 710) = 2130

GCD(6, 710) = ( 6 x 710 ) / 2130

GCD(6, 710) = 4260 / 2130

GCD(6, 710) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 944

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

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

GCD(2, 944) = 1888 / 944

GCD(2, 944) = 2

GCD of 798, 516, 710, 944 is 2

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1. What is the GCD of 798, 516, 710, 944?

GCD of 798, 516, 710, 944 is 2

2. Where do I get the detailed procedure to find GCD of 798, 516, 710, 944?

You can find a detailed procedure to find GCD of 798, 516, 710, 944 on our page.

3. How to find GCD of 798, 516, 710, 944 on a calculator?

You can find the GCD of 798, 516, 710, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.