GCD of 708, 502, 696 Calculator

Given Input numbers are 708, 502, 696

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

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 708, 502, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 502, 696 is 2.

Therefore, GCD of numbers 708, 502, 696 is 2

Given Input Data is 708, 502, 696

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 502 is 2 x 251

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(708, 502) = 177708

GCD(708, 502) = ( 708 x 502 ) / 177708

GCD(708, 502) = 355416 / 177708

GCD(708, 502) = 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 708, 502, 696 is 2

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1. What is the GCD of 708, 502, 696?

GCD of 708, 502, 696 is 2

2. Where do I get the detailed procedure to find GCD of 708, 502, 696?

You can find a detailed procedure to find GCD of 708, 502, 696 on our page.

3. How to find GCD of 708, 502, 696 on a calculator?

You can find the GCD of 708, 502, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.