GCD of 514, 212, 116 Calculator

Given Input numbers are 514, 212, 116

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 514, 212, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 212, 116 is 2.

Therefore, GCD of numbers 514, 212, 116 is 2

Given Input Data is 514, 212, 116

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 116 is 2 x 2 x 29

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(514, 212) = 54484

GCD(514, 212) = ( 514 x 212 ) / 54484

GCD(514, 212) = 108968 / 54484

GCD(514, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 116

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

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

GCD(2, 116) = 232 / 116

GCD(2, 116) = 2

GCD of 514, 212, 116 is 2

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1. What is the GCD of 514, 212, 116?

GCD of 514, 212, 116 is 2

2. Where do I get the detailed procedure to find GCD of 514, 212, 116?

You can find a detailed procedure to find GCD of 514, 212, 116 on our page.

3. How to find GCD of 514, 212, 116 on a calculator?

You can find the GCD of 514, 212, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.