GCD of 718, 516, 628 Calculator

Given Input numbers are 718, 516, 628

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 718, 516, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 516, 628 is 2.

Therefore, GCD of numbers 718, 516, 628 is 2

Given Input Data is 718, 516, 628

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

Prime Factorization of 718 is 2 x 359

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

Prime Factorization of 628 is 2 x 2 x 157

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(718, 516) = 185244

GCD(718, 516) = ( 718 x 516 ) / 185244

GCD(718, 516) = 370488 / 185244

GCD(718, 516) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

GCD of 718, 516, 628 is 2

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1. What is the GCD of 718, 516, 628?

GCD of 718, 516, 628 is 2

2. Where do I get the detailed procedure to find GCD of 718, 516, 628?

You can find a detailed procedure to find GCD of 718, 516, 628 on our page.

3. How to find GCD of 718, 516, 628 on a calculator?

You can find the GCD of 718, 516, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.