GCD of 248, 164, 494, 572 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 248, 164, 494, 572 i.e. 2 largest integer that divides all the numbers equally.

GCD of 248, 164, 494, 572 is 2

GCD(248, 164, 494, 572) = 2

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

GCD of

GCD of numbers 248, 164, 494, 572 is 2

GCD(248, 164, 494, 572) = 2

GCD of 248,164,494,572 Calculator

GCDof 248,164,494,572 is 2

Given Input numbers are 248, 164, 494, 572

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 248, 164, 494, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 164, 494, 572 is 2.

Therefore, GCD of numbers 248, 164, 494, 572 is 2

Finding GCD of 248, 164, 494, 572 using Prime Factorization

Given Input Data is 248, 164, 494, 572

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 572 is 2 x 2 x 11 x 13

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 248, 164, 494, 572 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(248, 164) = 10168

GCD(248, 164) = ( 248 x 164 ) / 10168

GCD(248, 164) = 40672 / 10168

GCD(248, 164) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 494

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

LCM(4, 494) = 988

GCD(4, 494) = ( 4 x 494 ) / 988

GCD(4, 494) = 1976 / 988

GCD(4, 494) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 572

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

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

GCD(2, 572) = 1144 / 572

GCD(2, 572) = 2

GCD of 248, 164, 494, 572 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 248, 164, 494, 572

1. What is the GCD of 248, 164, 494, 572?

GCD of 248, 164, 494, 572 is 2


2. Where do I get the detailed procedure to find GCD of 248, 164, 494, 572?

You can find a detailed procedure to find GCD of 248, 164, 494, 572 on our page.


3. How to find GCD of 248, 164, 494, 572 on a calculator?

You can find the GCD of 248, 164, 494, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.