GCD of 249, 543, 98, 132 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 249, 543, 98, 132 i.e. 1 largest integer that divides all the numbers equally.

GCD of 249, 543, 98, 132 is 1

GCD(249, 543, 98, 132) = 1

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

GCD of

GCD of numbers 249, 543, 98, 132 is 1

GCD(249, 543, 98, 132) = 1

GCD of 249,543,98,132 Calculator

GCDof 249,543,98,132 is 1

Given Input numbers are 249, 543, 98, 132

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 249, 543, 98, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 543, 98, 132 is 1.

Therefore, GCD of numbers 249, 543, 98, 132 is 1

Finding GCD of 249, 543, 98, 132 using Prime Factorization

Given Input Data is 249, 543, 98, 132

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 543 is 3 x 181

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 132 is 2 x 2 x 3 x 11

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

Finding GCD of 249, 543, 98, 132 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(249, 543) = 45069

GCD(249, 543) = ( 249 x 543 ) / 45069

GCD(249, 543) = 135207 / 45069

GCD(249, 543) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 98

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

LCM(3, 98) = 294

GCD(3, 98) = ( 3 x 98 ) / 294

GCD(3, 98) = 294 / 294

GCD(3, 98) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 249, 543, 98, 132 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 249, 543, 98, 132

1. What is the GCD of 249, 543, 98, 132?

GCD of 249, 543, 98, 132 is 1


2. Where do I get the detailed procedure to find GCD of 249, 543, 98, 132?

You can find a detailed procedure to find GCD of 249, 543, 98, 132 on our page.


3. How to find GCD of 249, 543, 98, 132 on a calculator?

You can find the GCD of 249, 543, 98, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.