GCD of 650, 398, 34, 669 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, 398, 34, 669 i.e. 1 largest integer that divides all the numbers equally.

GCD of 650, 398, 34, 669 is 1

GCD(650, 398, 34, 669) = 1

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

GCD of

GCD of numbers 650, 398, 34, 669 is 1

GCD(650, 398, 34, 669) = 1

GCD of 650,398,34,669 Calculator

GCDof 650,398,34,669 is 1

Given Input numbers are 650, 398, 34, 669

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 650, 398, 34, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 398, 34, 669 is 1.

Therefore, GCD of numbers 650, 398, 34, 669 is 1

Finding GCD of 650, 398, 34, 669 using Prime Factorization

Given Input Data is 650, 398, 34, 669

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 398 is 2 x 199

Prime Factorization of 34 is 2 x 17

Prime Factorization of 669 is 3 x 223

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

Finding GCD of 650, 398, 34, 669 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, 398) = 129350

GCD(650, 398) = ( 650 x 398 ) / 129350

GCD(650, 398) = 258700 / 129350

GCD(650, 398) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

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

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 669

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

LCM(2, 669) = 1338

GCD(2, 669) = ( 2 x 669 ) / 1338

GCD(2, 669) = 1338 / 1338

GCD(2, 669) = 1

GCD of 650, 398, 34, 669 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 650, 398, 34, 669

1. What is the GCD of 650, 398, 34, 669?

GCD of 650, 398, 34, 669 is 1


2. Where do I get the detailed procedure to find GCD of 650, 398, 34, 669?

You can find a detailed procedure to find GCD of 650, 398, 34, 669 on our page.


3. How to find GCD of 650, 398, 34, 669 on a calculator?

You can find the GCD of 650, 398, 34, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.