GCD of 368, 496, 994 Calculator

Given Input numbers are 368, 496, 994

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

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

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 368, 496, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 496, 994 is 2.

Therefore, GCD of numbers 368, 496, 994 is 2

Given Input Data is 368, 496, 994

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 496 is 2 x 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(368, 496) = 11408

GCD(368, 496) = ( 368 x 496 ) / 11408

GCD(368, 496) = 182528 / 11408

GCD(368, 496) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 994

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

LCM(16, 994) = 7952

GCD(16, 994) = ( 16 x 994 ) / 7952

GCD(16, 994) = 15904 / 7952

GCD(16, 994) = 2

GCD of 368, 496, 994 is 2

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1. What is the GCD of 368, 496, 994?

GCD of 368, 496, 994 is 2

2. Where do I get the detailed procedure to find GCD of 368, 496, 994?

You can find a detailed procedure to find GCD of 368, 496, 994 on our page.

3. How to find GCD of 368, 496, 994 on a calculator?

You can find the GCD of 368, 496, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.