GCD of 800, 548, 994 Calculator

Given Input numbers are 800, 548, 994

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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 800, 548, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 548, 994 is 2.

Therefore, GCD of numbers 800, 548, 994 is 2

Given Input Data is 800, 548, 994

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 548 is 2 x 2 x 137

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(800, 548) = 109600

GCD(800, 548) = ( 800 x 548 ) / 109600

GCD(800, 548) = 438400 / 109600

GCD(800, 548) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 994

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

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

GCD(4, 994) = 3976 / 1988

GCD(4, 994) = 2

GCD of 800, 548, 994 is 2

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1. What is the GCD of 800, 548, 994?

GCD of 800, 548, 994 is 2

2. Where do I get the detailed procedure to find GCD of 800, 548, 994?

You can find a detailed procedure to find GCD of 800, 548, 994 on our page.

3. How to find GCD of 800, 548, 994 on a calculator?

You can find the GCD of 800, 548, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.