GCD of 420, 380, 133, 855 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 420, 380, 133, 855 i.e. 1 largest integer that divides all the numbers equally.

GCD of 420, 380, 133, 855 is 1

GCD(420, 380, 133, 855) = 1

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

GCD of

GCD of numbers 420, 380, 133, 855 is 1

GCD(420, 380, 133, 855) = 1

GCD of 420,380,133,855 Calculator

GCDof 420,380,133,855 is 1

Given Input numbers are 420, 380, 133, 855

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 420, 380, 133, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 380, 133, 855 is 1.

Therefore, GCD of numbers 420, 380, 133, 855 is 1

Finding GCD of 420, 380, 133, 855 using Prime Factorization

Given Input Data is 420, 380, 133, 855

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 133 is 7 x 19

Prime Factorization of 855 is 3 x 3 x 5 x 19

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

Finding GCD of 420, 380, 133, 855 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(420, 380) = 7980

GCD(420, 380) = ( 420 x 380 ) / 7980

GCD(420, 380) = 159600 / 7980

GCD(420, 380) = 20


Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 133

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

LCM(20, 133) = 2660

GCD(20, 133) = ( 20 x 133 ) / 2660

GCD(20, 133) = 2660 / 2660

GCD(20, 133) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 420, 380, 133, 855 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 420, 380, 133, 855

1. What is the GCD of 420, 380, 133, 855?

GCD of 420, 380, 133, 855 is 1


2. Where do I get the detailed procedure to find GCD of 420, 380, 133, 855?

You can find a detailed procedure to find GCD of 420, 380, 133, 855 on our page.


3. How to find GCD of 420, 380, 133, 855 on a calculator?

You can find the GCD of 420, 380, 133, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.