GCD of 298, 496, 696 Calculator

Given Input numbers are 298, 496, 696

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 298, 496, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 496, 696 is 2.

Therefore, GCD of numbers 298, 496, 696 is 2

Given Input Data is 298, 496, 696

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

Prime Factorization of 298 is 2 x 149

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 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(298, 496) = 73904

GCD(298, 496) = ( 298 x 496 ) / 73904

GCD(298, 496) = 147808 / 73904

GCD(298, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

GCD of 298, 496, 696 is 2

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1. What is the GCD of 298, 496, 696?

GCD of 298, 496, 696 is 2

2. Where do I get the detailed procedure to find GCD of 298, 496, 696?

You can find a detailed procedure to find GCD of 298, 496, 696 on our page.

3. How to find GCD of 298, 496, 696 on a calculator?

You can find the GCD of 298, 496, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.