GCD of 838, 568, 516 Calculator

Given Input numbers are 838, 568, 516

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

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

Greatest Common Divisior

We found the divisors of 838, 568, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 568, 516 is 2.

Therefore, GCD of numbers 838, 568, 516 is 2

Given Input Data is 838, 568, 516

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 568 is 2 x 2 x 2 x 71

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

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(838, 568) = 237992

GCD(838, 568) = ( 838 x 568 ) / 237992

GCD(838, 568) = 475984 / 237992

GCD(838, 568) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

GCD of 838, 568, 516 is 2

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1. What is the GCD of 838, 568, 516?

GCD of 838, 568, 516 is 2

2. Where do I get the detailed procedure to find GCD of 838, 568, 516?

You can find a detailed procedure to find GCD of 838, 568, 516 on our page.

3. How to find GCD of 838, 568, 516 on a calculator?

You can find the GCD of 838, 568, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.