Where do I get the detailed procedure to find GCD of 517, 220, 737?

You can find a detailed procedure to find GCD of 517, 220, 737 on our page.

How to find GCD of 517, 220, 737 on a calculator?

You can find the GCD of 517, 220, 737 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 517, 220, 737 Calculator

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

Online GCD Calculator is useful to find the GCD of 517, 220, 737 quickly. Get the easiest ways to solve the greatest common divisor of 517, 220, 737 i.e 11 in different methods as follows.

How to Find GCD of Numbers 517, 220, 737 with Factoring?

Given Input numbers are 517, 220, 737

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

Divisors of 517 :

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

1, 11, 47, 517

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 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

GCD of numbers is the greatest common divisor

So, the GCD (517, 220, 737) = 11.

Find GCD of 517, 220, 737 using Prime Factorization

Given numbers are 517, 220, 737

The list of prime factors of all numbers are

Prime factors of 517 are 11 x 47

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

Prime factors of 737 are 11 x 67

The highest common occurrence is 11¹

Therefore, GCD of 517, 220, 737 is 11.

Steps to Calculate GCD of 517, 220, 737 using LCM Formula

Given numbers are 517, 220, 737

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

Apply this formula for all numbers.

Step1:

LCM(517, 220) = 10340

GCD(517, 220) = ( 517 x 220 ) / 10340

= 517 / 220

= 517

Step2:

LCM(11, 737) = 737

GCD(11, 737) = ( 11 x 737 ) / 737

= 11 / 737

= 11

So, Greatest Common Divisor of 517, 220, 737 is 11

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 517, 220, 737

Given numbers are 517, 220, 737
The greatest common divisor of numbers 517, 220, 737 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 517, 220, 737 is 11.

FAQs on GCD of 517, 220, 737 Calculator

1. What is the GCD of 517, 220, 737?

GCD of given numbers 517, 220, 737 is 11

2. How to calculate the greatest common divisor of 517, 220, 737?

We can find the highest common divisor of 517, 220, 737 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 517, 220, 737 i.e 11.

3. How can I use the GCD of 517, 220, 737Calculator?

Out the numbers 517, 220, 737 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.