GCD of 650, 428, 48, 459 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, 428, 48, 459 i.e. 1 largest integer that divides all the numbers equally.

GCD of 650, 428, 48, 459 is 1

GCD(650, 428, 48, 459) = 1

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

GCD of

GCD of numbers 650, 428, 48, 459 is 1

GCD(650, 428, 48, 459) = 1

GCD of 650,428,48,459 Calculator

GCDof 650,428,48,459 is 1

Given Input numbers are 650, 428, 48, 459

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 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 650, 428, 48, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 428, 48, 459 is 1.

Therefore, GCD of numbers 650, 428, 48, 459 is 1

Finding GCD of 650, 428, 48, 459 using Prime Factorization

Given Input Data is 650, 428, 48, 459

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 428 is 2 x 2 x 107

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 459 is 3 x 3 x 3 x 17

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

Finding GCD of 650, 428, 48, 459 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, 428) = 139100

GCD(650, 428) = ( 650 x 428 ) / 139100

GCD(650, 428) = 278200 / 139100

GCD(650, 428) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

GCD of 650, 428, 48, 459 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 650, 428, 48, 459

1. What is the GCD of 650, 428, 48, 459?

GCD of 650, 428, 48, 459 is 1


2. Where do I get the detailed procedure to find GCD of 650, 428, 48, 459?

You can find a detailed procedure to find GCD of 650, 428, 48, 459 on our page.


3. How to find GCD of 650, 428, 48, 459 on a calculator?

You can find the GCD of 650, 428, 48, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.