GCD of 800, 201, 69, 426 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 800, 201, 69, 426 i.e. 1 largest integer that divides all the numbers equally.

GCD of 800, 201, 69, 426 is 1

GCD(800, 201, 69, 426) = 1

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

GCD of

GCD of numbers 800, 201, 69, 426 is 1

GCD(800, 201, 69, 426) = 1

GCD of 800,201,69,426 Calculator

GCDof 800,201,69,426 is 1

Given Input numbers are 800, 201, 69, 426

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 426

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

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

Greatest Common Divisior

We found the divisors of 800, 201, 69, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 201, 69, 426 is 1.

Therefore, GCD of numbers 800, 201, 69, 426 is 1

Finding GCD of 800, 201, 69, 426 using Prime Factorization

Given Input Data is 800, 201, 69, 426

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 201 is 3 x 67

Prime Factorization of 69 is 3 x 23

Prime Factorization of 426 is 2 x 3 x 71

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

Finding GCD of 800, 201, 69, 426 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(800, 201) = 160800

GCD(800, 201) = ( 800 x 201 ) / 160800

GCD(800, 201) = 160800 / 160800

GCD(800, 201) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1

GCD of 800, 201, 69, 426 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 800, 201, 69, 426

1. What is the GCD of 800, 201, 69, 426?

GCD of 800, 201, 69, 426 is 1


2. Where do I get the detailed procedure to find GCD of 800, 201, 69, 426?

You can find a detailed procedure to find GCD of 800, 201, 69, 426 on our page.


3. How to find GCD of 800, 201, 69, 426 on a calculator?

You can find the GCD of 800, 201, 69, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.