GCD of 612, 248, 500, 180 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 612, 248, 500, 180 i.e. 4 largest integer that divides all the numbers equally.

GCD of 612, 248, 500, 180 is 4

GCD(612, 248, 500, 180) = 4

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

GCD of

GCD of numbers 612, 248, 500, 180 is 4

GCD(612, 248, 500, 180) = 4

GCD of 612,248,500,180 Calculator

GCDof 612,248,500,180 is 4

Given Input numbers are 612, 248, 500, 180

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 612, 248, 500, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 248, 500, 180 is 4.

Therefore, GCD of numbers 612, 248, 500, 180 is 4

Finding GCD of 612, 248, 500, 180 using Prime Factorization

Given Input Data is 612, 248, 500, 180

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 612, 248, 500, 180 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(612, 248) = 37944

GCD(612, 248) = ( 612 x 248 ) / 37944

GCD(612, 248) = 151776 / 37944

GCD(612, 248) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 500

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

LCM(4, 500) = 500

GCD(4, 500) = ( 4 x 500 ) / 500

GCD(4, 500) = 2000 / 500

GCD(4, 500) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 180

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

LCM(4, 180) = 180

GCD(4, 180) = ( 4 x 180 ) / 180

GCD(4, 180) = 720 / 180

GCD(4, 180) = 4

GCD of 612, 248, 500, 180 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 612, 248, 500, 180

1. What is the GCD of 612, 248, 500, 180?

GCD of 612, 248, 500, 180 is 4


2. Where do I get the detailed procedure to find GCD of 612, 248, 500, 180?

You can find a detailed procedure to find GCD of 612, 248, 500, 180 on our page.


3. How to find GCD of 612, 248, 500, 180 on a calculator?

You can find the GCD of 612, 248, 500, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.