GCD of 996, 662, 544, 824 Calculator

Given Input numbers are 996, 662, 544, 824

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

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 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 996, 662, 544, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 662, 544, 824 is 2.

Therefore, GCD of numbers 996, 662, 544, 824 is 2

Given Input Data is 996, 662, 544, 824

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

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

Prime Factorization of 662 is 2 x 331

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(996, 662) = 329676

GCD(996, 662) = ( 996 x 662 ) / 329676

GCD(996, 662) = 659352 / 329676

GCD(996, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 544

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

LCM(2, 544) = 544

GCD(2, 544) = ( 2 x 544 ) / 544

GCD(2, 544) = 1088 / 544

GCD(2, 544) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

GCD of 996, 662, 544, 824 is 2

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1. What is the GCD of 996, 662, 544, 824?

GCD of 996, 662, 544, 824 is 2

2. Where do I get the detailed procedure to find GCD of 996, 662, 544, 824?

You can find a detailed procedure to find GCD of 996, 662, 544, 824 on our page.

3. How to find GCD of 996, 662, 544, 824 on a calculator?

You can find the GCD of 996, 662, 544, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.