GCD of 536, 156, 484, 498 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 536, 156, 484, 498 i.e. 2 largest integer that divides all the numbers equally.

GCD of 536, 156, 484, 498 is 2

GCD(536, 156, 484, 498) = 2

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

GCD of

GCD of numbers 536, 156, 484, 498 is 2

GCD(536, 156, 484, 498) = 2

GCD of 536,156,484,498 Calculator

GCDof 536,156,484,498 is 2

Given Input numbers are 536, 156, 484, 498

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 536, 156, 484, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 156, 484, 498 is 2.

Therefore, GCD of numbers 536, 156, 484, 498 is 2

Finding GCD of 536, 156, 484, 498 using Prime Factorization

Given Input Data is 536, 156, 484, 498

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 498 is 2 x 3 x 83

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 536, 156, 484, 498 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(536, 156) = 20904

GCD(536, 156) = ( 536 x 156 ) / 20904

GCD(536, 156) = 83616 / 20904

GCD(536, 156) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 484

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

LCM(4, 484) = 484

GCD(4, 484) = ( 4 x 484 ) / 484

GCD(4, 484) = 1936 / 484

GCD(4, 484) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 498

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

LCM(4, 498) = 996

GCD(4, 498) = ( 4 x 498 ) / 996

GCD(4, 498) = 1992 / 996

GCD(4, 498) = 2

GCD of 536, 156, 484, 498 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 536, 156, 484, 498

1. What is the GCD of 536, 156, 484, 498?

GCD of 536, 156, 484, 498 is 2


2. Where do I get the detailed procedure to find GCD of 536, 156, 484, 498?

You can find a detailed procedure to find GCD of 536, 156, 484, 498 on our page.


3. How to find GCD of 536, 156, 484, 498 on a calculator?

You can find the GCD of 536, 156, 484, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.