Where do I get the detailed procedure to find GCD of 501, 687, 646?

You can find a detailed procedure to find GCD of 501, 687, 646 on our page.

How to find GCD of 501, 687, 646 on a calculator?

You can find the GCD of 501, 687, 646 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 501, 687, 646 Calculator

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

Online GCD Calculator is useful to find the GCD of 501, 687, 646 quickly. Get the easiest ways to solve the greatest common divisor of 501, 687, 646 i.e 1 in different methods as follows.

How to Find GCD of Numbers 501, 687, 646 with Factoring?

Given Input numbers are 501, 687, 646

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

GCD of numbers is the greatest common divisor

So, the GCD (501, 687, 646) = 1.

Find GCD of 501, 687, 646 using Prime Factorization

Given numbers are 501, 687, 646

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 687 are 3 x 229

Prime factors of 646 are 2 x 17 x 19

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 501, 687, 646 using LCM Formula

Given numbers are 501, 687, 646

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

Apply this formula for all numbers.

Step1:

LCM(501, 687) = 114729

GCD(501, 687) = ( 501 x 687 ) / 114729

= 501 / 687

= 501

Step2:

LCM(3, 646) = 1938

GCD(3, 646) = ( 3 x 646 ) / 1938

= 3 / 646

= 3

So, Greatest Common Divisor of 501, 687, 646 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 501, 687, 646

Given numbers are 501, 687, 646
The greatest common divisor of numbers 501, 687, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 687, 646 is 1.

FAQs on GCD of 501, 687, 646 Calculator

1. What is the GCD of 501, 687, 646?

GCD of given numbers 501, 687, 646 is 1

2. How to calculate the greatest common divisor of 501, 687, 646?

We can find the highest common divisor of 501, 687, 646 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 501, 687, 646 i.e 1.

3. How can I use the GCD of 501, 687, 646Calculator?

Out the numbers 501, 687, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.