GCD of 512, 248, 994 Calculator

Given Input numbers are 512, 248, 994

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 512, 248, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 248, 994 is 2.

Therefore, GCD of numbers 512, 248, 994 is 2

Given Input Data is 512, 248, 994

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 994 is 2 x 7 x 71

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(512, 248) = 15872

GCD(512, 248) = ( 512 x 248 ) / 15872

GCD(512, 248) = 126976 / 15872

GCD(512, 248) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 994

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

LCM(8, 994) = 3976

GCD(8, 994) = ( 8 x 994 ) / 3976

GCD(8, 994) = 7952 / 3976

GCD(8, 994) = 2

GCD of 512, 248, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 813, 461
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• GCD of 962, 514, 483
• GCD of 281, 763, 871
• GCD of 142, 607, 397

1. What is the GCD of 512, 248, 994?

GCD of 512, 248, 994 is 2

2. Where do I get the detailed procedure to find GCD of 512, 248, 994?

You can find a detailed procedure to find GCD of 512, 248, 994 on our page.

3. How to find GCD of 512, 248, 994 on a calculator?

You can find the GCD of 512, 248, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.