GCD of 363, 882, 150, 873 Calculator

Given Input numbers are 363, 882, 150, 873

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 363, 882, 150, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 882, 150, 873 is 3.

Therefore, GCD of numbers 363, 882, 150, 873 is 3

Given Input Data is 363, 882, 150, 873

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 873 is 3 x 3 x 97

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(363, 882) = 106722

GCD(363, 882) = ( 363 x 882 ) / 106722

GCD(363, 882) = 320166 / 106722

GCD(363, 882) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 150

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

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

GCD(3, 150) = 450 / 150

GCD(3, 150) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 873

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

LCM(3, 873) = 873

GCD(3, 873) = ( 3 x 873 ) / 873

GCD(3, 873) = 2619 / 873

GCD(3, 873) = 3

GCD of 363, 882, 150, 873 is 3

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1. What is the GCD of 363, 882, 150, 873?

GCD of 363, 882, 150, 873 is 3

2. Where do I get the detailed procedure to find GCD of 363, 882, 150, 873?

You can find a detailed procedure to find GCD of 363, 882, 150, 873 on our page.

3. How to find GCD of 363, 882, 150, 873 on a calculator?

You can find the GCD of 363, 882, 150, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.