Where do I get the detailed procedure to find GCD of 490, 198, 500?

You can find a detailed procedure to find GCD of 490, 198, 500 on our page.

How to find GCD of 490, 198, 500 on a calculator?

You can find the GCD of 490, 198, 500 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 490, 198, 500 Calculator

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

Online GCD Calculator is useful to find the GCD of 490, 198, 500 quickly. Get the easiest ways to solve the greatest common divisor of 490, 198, 500 i.e 2 in different methods as follows.

How to Find GCD of Numbers 490, 198, 500 with Factoring?

Given Input numbers are 490, 198, 500

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

GCD of numbers is the greatest common divisor

So, the GCD (490, 198, 500) = 2.

Find GCD of 490, 198, 500 using Prime Factorization

Given numbers are 490, 198, 500

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 198 are 2 x 3 x 3 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 490, 198, 500 is 2.

Steps to Calculate GCD of 490, 198, 500 using LCM Formula

Given numbers are 490, 198, 500

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

Apply this formula for all numbers.

Step1:

LCM(490, 198) = 48510

GCD(490, 198) = ( 490 x 198 ) / 48510

= 490 / 198

= 490

Step2:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 490, 198, 500 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 490, 198, 500

Given numbers are 490, 198, 500
The greatest common divisor of numbers 490, 198, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 198, 500 is 2.

FAQs on GCD of 490, 198, 500 Calculator

1. What is the GCD of 490, 198, 500?

GCD of given numbers 490, 198, 500 is 2

2. How to calculate the greatest common divisor of 490, 198, 500?

We can find the highest common divisor of 490, 198, 500 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 490, 198, 500 i.e 2.

3. How can I use the GCD of 490, 198, 500Calculator?

Out the numbers 490, 198, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.