GCD of 718, 688, 496 Calculator

Given Input numbers are 718, 688, 496

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 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 718, 688, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 688, 496 is 2.

Therefore, GCD of numbers 718, 688, 496 is 2

Given Input Data is 718, 688, 496

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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, 688) = 246992

GCD(718, 688) = ( 718 x 688 ) / 246992

GCD(718, 688) = 493984 / 246992

GCD(718, 688) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 2

GCD of 718, 688, 496 is 2

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1. What is the GCD of 718, 688, 496?

GCD of 718, 688, 496 is 2

2. Where do I get the detailed procedure to find GCD of 718, 688, 496?

You can find a detailed procedure to find GCD of 718, 688, 496 on our page.

3. How to find GCD of 718, 688, 496 on a calculator?

You can find the GCD of 718, 688, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.