GCD of 300, 250, 334, 665 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 300, 250, 334, 665 i.e. 1 largest integer that divides all the numbers equally.

GCD of 300, 250, 334, 665 is 1

GCD(300, 250, 334, 665) = 1

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

GCD of

GCD of numbers 300, 250, 334, 665 is 1

GCD(300, 250, 334, 665) = 1

GCD of 300,250,334,665 Calculator

GCDof 300,250,334,665 is 1

Given Input numbers are 300, 250, 334, 665

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Greatest Common Divisior

We found the divisors of 300, 250, 334, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 250, 334, 665 is 1.

Therefore, GCD of numbers 300, 250, 334, 665 is 1

Finding GCD of 300, 250, 334, 665 using Prime Factorization

Given Input Data is 300, 250, 334, 665

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 334 is 2 x 167

Prime Factorization of 665 is 5 x 7 x 19

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

Finding GCD of 300, 250, 334, 665 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(300, 250) = 1500

GCD(300, 250) = ( 300 x 250 ) / 1500

GCD(300, 250) = 75000 / 1500

GCD(300, 250) = 50


Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 334

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

LCM(50, 334) = 8350

GCD(50, 334) = ( 50 x 334 ) / 8350

GCD(50, 334) = 16700 / 8350

GCD(50, 334) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 665

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

LCM(2, 665) = 1330

GCD(2, 665) = ( 2 x 665 ) / 1330

GCD(2, 665) = 1330 / 1330

GCD(2, 665) = 1

GCD of 300, 250, 334, 665 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 300, 250, 334, 665

1. What is the GCD of 300, 250, 334, 665?

GCD of 300, 250, 334, 665 is 1


2. Where do I get the detailed procedure to find GCD of 300, 250, 334, 665?

You can find a detailed procedure to find GCD of 300, 250, 334, 665 on our page.


3. How to find GCD of 300, 250, 334, 665 on a calculator?

You can find the GCD of 300, 250, 334, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.