GCD of 996, 656, 731, 284 Calculator

Given Input numbers are 996, 656, 731, 284

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 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 996, 656, 731, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 656, 731, 284 is 1.

Therefore, GCD of numbers 996, 656, 731, 284 is 1

Given Input Data is 996, 656, 731, 284

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 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 731 is 17 x 43

Prime Factorization of 284 is 2 x 2 x 71

The above numbers do not have any common prime factor. So GCD is 1

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, 656) = 163344

GCD(996, 656) = ( 996 x 656 ) / 163344

GCD(996, 656) = 653376 / 163344

GCD(996, 656) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 731

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

LCM(4, 731) = 2924

GCD(4, 731) = ( 4 x 731 ) / 2924

GCD(4, 731) = 2924 / 2924

GCD(4, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 996, 656, 731, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 503, 415, 522
• GCD of 706, 706, 694, 487
• GCD of 661, 142, 256, 853
• GCD of 865, 685, 886, 650
• GCD of 470, 710, 594, 989

1. What is the GCD of 996, 656, 731, 284?

GCD of 996, 656, 731, 284 is 1

2. Where do I get the detailed procedure to find GCD of 996, 656, 731, 284?

You can find a detailed procedure to find GCD of 996, 656, 731, 284 on our page.

3. How to find GCD of 996, 656, 731, 284 on a calculator?

You can find the GCD of 996, 656, 731, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.