GCD of 992, 514, 388, 894 Calculator

Given Input numbers are 992, 514, 388, 894

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 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 992, 514, 388, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 514, 388, 894 is 2.

Therefore, GCD of numbers 992, 514, 388, 894 is 2

Given Input Data is 992, 514, 388, 894

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 514 is 2 x 257

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 894 is 2 x 3 x 149

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, 514) = 254944

GCD(992, 514) = ( 992 x 514 ) / 254944

GCD(992, 514) = 509888 / 254944

GCD(992, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 388

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

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

GCD(2, 388) = 776 / 388

GCD(2, 388) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

GCD of 992, 514, 388, 894 is 2

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1. What is the GCD of 992, 514, 388, 894?

GCD of 992, 514, 388, 894 is 2

2. Where do I get the detailed procedure to find GCD of 992, 514, 388, 894?

You can find a detailed procedure to find GCD of 992, 514, 388, 894 on our page.

3. How to find GCD of 992, 514, 388, 894 on a calculator?

You can find the GCD of 992, 514, 388, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.