GCD of 882, 912, 450, 309 Calculator

Given Input numbers are 882, 912, 450, 309

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

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 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 882, 912, 450, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 912, 450, 309 is 3.

Therefore, GCD of numbers 882, 912, 450, 309 is 3

Given Input Data is 882, 912, 450, 309

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

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 309 is 3 x 103

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(882, 912) = 134064

GCD(882, 912) = ( 882 x 912 ) / 134064

GCD(882, 912) = 804384 / 134064

GCD(882, 912) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 450

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

LCM(6, 450) = 450

GCD(6, 450) = ( 6 x 450 ) / 450

GCD(6, 450) = 2700 / 450

GCD(6, 450) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 309

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

LCM(6, 309) = 618

GCD(6, 309) = ( 6 x 309 ) / 618

GCD(6, 309) = 1854 / 618

GCD(6, 309) = 3

GCD of 882, 912, 450, 309 is 3

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1. What is the GCD of 882, 912, 450, 309?

GCD of 882, 912, 450, 309 is 3

2. Where do I get the detailed procedure to find GCD of 882, 912, 450, 309?

You can find a detailed procedure to find GCD of 882, 912, 450, 309 on our page.

3. How to find GCD of 882, 912, 450, 309 on a calculator?

You can find the GCD of 882, 912, 450, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.