GCD of 82, 738, 996, 884 Calculator

Given Input numbers are 82, 738, 996, 884

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 82, 738, 996, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 738, 996, 884 is 2.

Therefore, GCD of numbers 82, 738, 996, 884 is 2

Given Input Data is 82, 738, 996, 884

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(82, 738) = 738

GCD(82, 738) = ( 82 x 738 ) / 738

GCD(82, 738) = 60516 / 738

GCD(82, 738) = 82

Step2:

Here we consider the GCD from the above i.e. 82 as first number and the next as 996

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

LCM(82, 996) = 40836

GCD(82, 996) = ( 82 x 996 ) / 40836

GCD(82, 996) = 81672 / 40836

GCD(82, 996) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 884

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

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

GCD(2, 884) = 1768 / 884

GCD(2, 884) = 2

GCD of 82, 738, 996, 884 is 2

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1. What is the GCD of 82, 738, 996, 884?

GCD of 82, 738, 996, 884 is 2

2. Where do I get the detailed procedure to find GCD of 82, 738, 996, 884?

You can find a detailed procedure to find GCD of 82, 738, 996, 884 on our page.

3. How to find GCD of 82, 738, 996, 884 on a calculator?

You can find the GCD of 82, 738, 996, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.