GCD of 853, 507, 149, 412 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 853, 507, 149, 412 i.e. 1 largest integer that divides all the numbers equally.

GCD of 853, 507, 149, 412 is 1

GCD(853, 507, 149, 412) = 1

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

GCD of

GCD of numbers 853, 507, 149, 412 is 1

GCD(853, 507, 149, 412) = 1

GCD of 853,507,149,412 Calculator

GCDof 853,507,149,412 is 1

Given Input numbers are 853, 507, 149, 412

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 853, 507, 149, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 507, 149, 412 is 1.

Therefore, GCD of numbers 853, 507, 149, 412 is 1

Finding GCD of 853, 507, 149, 412 using Prime Factorization

Given Input Data is 853, 507, 149, 412

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

Prime Factorization of 853 is 853

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 149 is 149

Prime Factorization of 412 is 2 x 2 x 103

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

Finding GCD of 853, 507, 149, 412 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(853, 507) = 432471

GCD(853, 507) = ( 853 x 507 ) / 432471

GCD(853, 507) = 432471 / 432471

GCD(853, 507) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 853, 507, 149, 412 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 853, 507, 149, 412

1. What is the GCD of 853, 507, 149, 412?

GCD of 853, 507, 149, 412 is 1


2. Where do I get the detailed procedure to find GCD of 853, 507, 149, 412?

You can find a detailed procedure to find GCD of 853, 507, 149, 412 on our page.


3. How to find GCD of 853, 507, 149, 412 on a calculator?

You can find the GCD of 853, 507, 149, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.