GCD of 636, 144, 83, 641 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 636, 144, 83, 641 i.e. 1 largest integer that divides all the numbers equally.

GCD of 636, 144, 83, 641 is 1

GCD(636, 144, 83, 641) = 1

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

GCD of

GCD of numbers 636, 144, 83, 641 is 1

GCD(636, 144, 83, 641) = 1

GCD of 636,144,83,641 Calculator

GCDof 636,144,83,641 is 1

Given Input numbers are 636, 144, 83, 641

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Greatest Common Divisior

We found the divisors of 636, 144, 83, 641 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 144, 83, 641 is 1.

Therefore, GCD of numbers 636, 144, 83, 641 is 1

Finding GCD of 636, 144, 83, 641 using Prime Factorization

Given Input Data is 636, 144, 83, 641

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 83 is 83

Prime Factorization of 641 is 641

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

Finding GCD of 636, 144, 83, 641 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(636, 144) = 7632

GCD(636, 144) = ( 636 x 144 ) / 7632

GCD(636, 144) = 91584 / 7632

GCD(636, 144) = 12


Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 83

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

LCM(12, 83) = 996

GCD(12, 83) = ( 12 x 83 ) / 996

GCD(12, 83) = 996 / 996

GCD(12, 83) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 641

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

LCM(1, 641) = 641

GCD(1, 641) = ( 1 x 641 ) / 641

GCD(1, 641) = 641 / 641

GCD(1, 641) = 1

GCD of 636, 144, 83, 641 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 636, 144, 83, 641

1. What is the GCD of 636, 144, 83, 641?

GCD of 636, 144, 83, 641 is 1


2. Where do I get the detailed procedure to find GCD of 636, 144, 83, 641?

You can find a detailed procedure to find GCD of 636, 144, 83, 641 on our page.


3. How to find GCD of 636, 144, 83, 641 on a calculator?

You can find the GCD of 636, 144, 83, 641 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.