GCD of 426, 300, 511 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 426, 300, 511 i.e. 1 largest integer that divides all the numbers equally.

GCD of 426, 300, 511 is 1

GCD(426, 300, 511) = 1

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

GCD of

GCD of numbers 426, 300, 511 is 1

GCD(426, 300, 511) = 1

GCD of 426,300,511 Calculator

GCDof 426,300,511 is 1

Given Input numbers are 426, 300, 511

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

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 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 426, 300, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 300, 511 is 1.

Therefore, GCD of numbers 426, 300, 511 is 1

Finding GCD of 426, 300, 511 using Prime Factorization

Given Input Data is 426, 300, 511

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

Prime Factorization of 426 is 2 x 3 x 71

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

Prime Factorization of 511 is 7 x 73

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

Finding GCD of 426, 300, 511 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(426, 300) = 21300

GCD(426, 300) = ( 426 x 300 ) / 21300

GCD(426, 300) = 127800 / 21300

GCD(426, 300) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 511

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

LCM(6, 511) = 3066

GCD(6, 511) = ( 6 x 511 ) / 3066

GCD(6, 511) = 3066 / 3066

GCD(6, 511) = 1

GCD of 426, 300, 511 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 426, 300, 511

1. What is the GCD of 426, 300, 511?

GCD of 426, 300, 511 is 1


2. Where do I get the detailed procedure to find GCD of 426, 300, 511?

You can find a detailed procedure to find GCD of 426, 300, 511 on our page.


3. How to find GCD of 426, 300, 511 on a calculator?

You can find the GCD of 426, 300, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.