GCD of 984, 882, 44, 576 Calculator

Given Input numbers are 984, 882, 44, 576

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 984, 882, 44, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 882, 44, 576 is 2.

Therefore, GCD of numbers 984, 882, 44, 576 is 2

Given Input Data is 984, 882, 44, 576

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(984, 882) = 144648

GCD(984, 882) = ( 984 x 882 ) / 144648

GCD(984, 882) = 867888 / 144648

GCD(984, 882) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 44

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

LCM(6, 44) = 132

GCD(6, 44) = ( 6 x 44 ) / 132

GCD(6, 44) = 264 / 132

GCD(6, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

GCD of 984, 882, 44, 576 is 2

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1. What is the GCD of 984, 882, 44, 576?

GCD of 984, 882, 44, 576 is 2

2. Where do I get the detailed procedure to find GCD of 984, 882, 44, 576?

You can find a detailed procedure to find GCD of 984, 882, 44, 576 on our page.

3. How to find GCD of 984, 882, 44, 576 on a calculator?

You can find the GCD of 984, 882, 44, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.