GCD of 650, 622, 17, 501 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 650, 622, 17, 501 i.e. 1 largest integer that divides all the numbers equally.

GCD of 650, 622, 17, 501 is 1

GCD(650, 622, 17, 501) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 650, 622, 17, 501 is 1

GCD(650, 622, 17, 501) = 1

GCD of 650,622,17,501 Calculator

GCDof 650,622,17,501 is 1

Given Input numbers are 650, 622, 17, 501

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 650, 622, 17, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 622, 17, 501 is 1.

Therefore, GCD of numbers 650, 622, 17, 501 is 1

Finding GCD of 650, 622, 17, 501 using Prime Factorization

Given Input Data is 650, 622, 17, 501

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 622 is 2 x 311

Prime Factorization of 17 is 17

Prime Factorization of 501 is 3 x 167

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

Finding GCD of 650, 622, 17, 501 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(650, 622) = 202150

GCD(650, 622) = ( 650 x 622 ) / 202150

GCD(650, 622) = 404300 / 202150

GCD(650, 622) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 650, 622, 17, 501 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 650, 622, 17, 501

1. What is the GCD of 650, 622, 17, 501?

GCD of 650, 622, 17, 501 is 1


2. Where do I get the detailed procedure to find GCD of 650, 622, 17, 501?

You can find a detailed procedure to find GCD of 650, 622, 17, 501 on our page.


3. How to find GCD of 650, 622, 17, 501 on a calculator?

You can find the GCD of 650, 622, 17, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.