Where do I get the detailed procedure to find GCD of 638, 220, 517?

You can find a detailed procedure to find GCD of 638, 220, 517 on our page.

How to find GCD of 638, 220, 517 on a calculator?

You can find the GCD of 638, 220, 517 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 638, 220, 517 Calculator

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

Online GCD Calculator is useful to find the GCD of 638, 220, 517 quickly. Get the easiest ways to solve the greatest common divisor of 638, 220, 517 i.e 11 in different methods as follows.

How to Find GCD of Numbers 638, 220, 517 with Factoring?

Given Input numbers are 638, 220, 517

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

GCD of numbers is the greatest common divisor

So, the GCD (638, 220, 517) = 11.

Find GCD of 638, 220, 517 using Prime Factorization

Given numbers are 638, 220, 517

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 517 are 11 x 47

The highest common occurrence is 11¹

Therefore, GCD of 638, 220, 517 is 11.

Steps to Calculate GCD of 638, 220, 517 using LCM Formula

Given numbers are 638, 220, 517

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

Apply this formula for all numbers.

Step1:

LCM(638, 220) = 6380

GCD(638, 220) = ( 638 x 220 ) / 6380

= 638 / 220

= 638

Step2:

LCM(22, 517) = 1034

GCD(22, 517) = ( 22 x 517 ) / 1034

= 22 / 517

= 22

So, Greatest Common Divisor of 638, 220, 517 is 11

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 638, 220, 517

Given numbers are 638, 220, 517
The greatest common divisor of numbers 638, 220, 517 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 220, 517 is 11.

FAQs on GCD of 638, 220, 517 Calculator

1. What is the GCD of 638, 220, 517?

GCD of given numbers 638, 220, 517 is 11

2. How to calculate the greatest common divisor of 638, 220, 517?

We can find the highest common divisor of 638, 220, 517 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 638, 220, 517 i.e 11.

3. How can I use the GCD of 638, 220, 517Calculator?

Out the numbers 638, 220, 517 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.