GCD of 180, 804, 98, 900 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 180, 804, 98, 900 i.e. 2 largest integer that divides all the numbers equally.

GCD of 180, 804, 98, 900 is 2

GCD(180, 804, 98, 900) = 2

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

GCD of

GCD of numbers 180, 804, 98, 900 is 2

GCD(180, 804, 98, 900) = 2

GCD of 180,804,98,900 Calculator

GCDof 180,804,98,900 is 2

Given Input numbers are 180, 804, 98, 900

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

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 180, 804, 98, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 804, 98, 900 is 2.

Therefore, GCD of numbers 180, 804, 98, 900 is 2

Finding GCD of 180, 804, 98, 900 using Prime Factorization

Given Input Data is 180, 804, 98, 900

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

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 180, 804, 98, 900 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(180, 804) = 12060

GCD(180, 804) = ( 180 x 804 ) / 12060

GCD(180, 804) = 144720 / 12060

GCD(180, 804) = 12


Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 98

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

LCM(12, 98) = 588

GCD(12, 98) = ( 12 x 98 ) / 588

GCD(12, 98) = 1176 / 588

GCD(12, 98) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 900

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

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

GCD(2, 900) = 1800 / 900

GCD(2, 900) = 2

GCD of 180, 804, 98, 900 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 180, 804, 98, 900

1. What is the GCD of 180, 804, 98, 900?

GCD of 180, 804, 98, 900 is 2


2. Where do I get the detailed procedure to find GCD of 180, 804, 98, 900?

You can find a detailed procedure to find GCD of 180, 804, 98, 900 on our page.


3. How to find GCD of 180, 804, 98, 900 on a calculator?

You can find the GCD of 180, 804, 98, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.