GCD of 212, 583, 42, 984 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 212, 583, 42, 984 i.e. 1 largest integer that divides all the numbers equally.

GCD of 212, 583, 42, 984 is 1

GCD(212, 583, 42, 984) = 1

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

GCD of

GCD of numbers 212, 583, 42, 984 is 1

GCD(212, 583, 42, 984) = 1

GCD of 212,583,42,984 Calculator

GCDof 212,583,42,984 is 1

Given Input numbers are 212, 583, 42, 984

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 212, 583, 42, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 583, 42, 984 is 1.

Therefore, GCD of numbers 212, 583, 42, 984 is 1

Finding GCD of 212, 583, 42, 984 using Prime Factorization

Given Input Data is 212, 583, 42, 984

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 583 is 11 x 53

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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

Finding GCD of 212, 583, 42, 984 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(212, 583) = 2332

GCD(212, 583) = ( 212 x 583 ) / 2332

GCD(212, 583) = 123596 / 2332

GCD(212, 583) = 53


Step2:

Here we consider the GCD from the above i.e. 53 as first number and the next as 42

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

LCM(53, 42) = 2226

GCD(53, 42) = ( 53 x 42 ) / 2226

GCD(53, 42) = 2226 / 2226

GCD(53, 42) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 212, 583, 42, 984 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 212, 583, 42, 984

1. What is the GCD of 212, 583, 42, 984?

GCD of 212, 583, 42, 984 is 1


2. Where do I get the detailed procedure to find GCD of 212, 583, 42, 984?

You can find a detailed procedure to find GCD of 212, 583, 42, 984 on our page.


3. How to find GCD of 212, 583, 42, 984 on a calculator?

You can find the GCD of 212, 583, 42, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.