GCD of 562, 982, 144 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 562, 982, 144 i.e. 2 largest integer that divides all the numbers equally.

GCD of 562, 982, 144 is 2

GCD(562, 982, 144) = 2

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

GCD of

GCD of numbers 562, 982, 144 is 2

GCD(562, 982, 144) = 2

GCD of 562,982,144 Calculator

GCDof 562,982,144 is 2

Given Input numbers are 562, 982, 144

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

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

Greatest Common Divisior

We found the divisors of 562, 982, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 982, 144 is 2.

Therefore, GCD of numbers 562, 982, 144 is 2

Finding GCD of 562, 982, 144 using Prime Factorization

Given Input Data is 562, 982, 144

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 982 is 2 x 491

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

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 562, 982, 144 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(562, 982) = 275942

GCD(562, 982) = ( 562 x 982 ) / 275942

GCD(562, 982) = 551884 / 275942

GCD(562, 982) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

GCD of 562, 982, 144 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 562, 982, 144

1. What is the GCD of 562, 982, 144?

GCD of 562, 982, 144 is 2


2. Where do I get the detailed procedure to find GCD of 562, 982, 144?

You can find a detailed procedure to find GCD of 562, 982, 144 on our page.


3. How to find GCD of 562, 982, 144 on a calculator?

You can find the GCD of 562, 982, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.