GCD of 992, 446, 796, 678 Calculator

Given Input numbers are 992, 446, 796, 678

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 992, 446, 796, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 446, 796, 678 is 2.

Therefore, GCD of numbers 992, 446, 796, 678 is 2

Given Input Data is 992, 446, 796, 678

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 446 is 2 x 223

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 678 is 2 x 3 x 113

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(992, 446) = 221216

GCD(992, 446) = ( 992 x 446 ) / 221216

GCD(992, 446) = 442432 / 221216

GCD(992, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

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

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

GCD of 992, 446, 796, 678 is 2

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1. What is the GCD of 992, 446, 796, 678?

GCD of 992, 446, 796, 678 is 2

2. Where do I get the detailed procedure to find GCD of 992, 446, 796, 678?

You can find a detailed procedure to find GCD of 992, 446, 796, 678 on our page.

3. How to find GCD of 992, 446, 796, 678 on a calculator?

You can find the GCD of 992, 446, 796, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.