GCD of 996, 680, 826, 392 Calculator

Given Input numbers are 996, 680, 826, 392

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 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 996, 680, 826, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 680, 826, 392 is 2.

Therefore, GCD of numbers 996, 680, 826, 392 is 2

Given Input Data is 996, 680, 826, 392

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 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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, 680) = 169320

GCD(996, 680) = ( 996 x 680 ) / 169320

GCD(996, 680) = 677280 / 169320

GCD(996, 680) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 826

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

LCM(4, 826) = 1652

GCD(4, 826) = ( 4 x 826 ) / 1652

GCD(4, 826) = 3304 / 1652

GCD(4, 826) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

GCD of 996, 680, 826, 392 is 2

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1. What is the GCD of 996, 680, 826, 392?

GCD of 996, 680, 826, 392 is 2

2. Where do I get the detailed procedure to find GCD of 996, 680, 826, 392?

You can find a detailed procedure to find GCD of 996, 680, 826, 392 on our page.

3. How to find GCD of 996, 680, 826, 392 on a calculator?

You can find the GCD of 996, 680, 826, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.