Where do I get the detailed procedure to find GCD of 656, 500, 802?

You can find a detailed procedure to find GCD of 656, 500, 802 on our page.

How to find GCD of 656, 500, 802 on a calculator?

You can find the GCD of 656, 500, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 656, 500, 802 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 656, 500, 802 quickly. Get the easiest ways to solve the greatest common divisor of 656, 500, 802 i.e 2 in different methods as follows.

How to Find GCD of Numbers 656, 500, 802 with Factoring?

Given Input numbers are 656, 500, 802

In the factoring method, we have to find the divisors of all numbers

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

GCD of numbers is the greatest common divisor

So, the GCD (656, 500, 802) = 2.

Find GCD of 656, 500, 802 using Prime Factorization

Given numbers are 656, 500, 802

The list of prime factors of all numbers are

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 802 are 2 x 401

The highest common occurrence is 2¹

Therefore, GCD of 656, 500, 802 is 2.

Steps to Calculate GCD of 656, 500, 802 using LCM Formula

Given numbers are 656, 500, 802

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(656, 500) = 82000

GCD(656, 500) = ( 656 x 500 ) / 82000

= 656 / 500

= 656

Step2:

LCM(4, 802) = 1604

GCD(4, 802) = ( 4 x 802 ) / 1604

= 4 / 802

= 4

So, Greatest Common Divisor of 656, 500, 802 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 656, 500, 802

Given numbers are 656, 500, 802
The greatest common divisor of numbers 656, 500, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 500, 802 is 2.

FAQs on GCD of 656, 500, 802 Calculator

1. What is the GCD of 656, 500, 802?

GCD of given numbers 656, 500, 802 is 2

2. How to calculate the greatest common divisor of 656, 500, 802?

We can find the highest common divisor of 656, 500, 802 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 656, 500, 802 i.e 2.

3. How can I use the GCD of 656, 500, 802Calculator?

Out the numbers 656, 500, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.