GCD of 400, 994, 270 Calculator

Given Input numbers are 400, 994, 270

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

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

Divisors of 994

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

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 400, 994, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 994, 270 is 2.

Therefore, GCD of numbers 400, 994, 270 is 2

Given Input Data is 400, 994, 270

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(400, 994) = 198800

GCD(400, 994) = ( 400 x 994 ) / 198800

GCD(400, 994) = 397600 / 198800

GCD(400, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

GCD of 400, 994, 270 is 2

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1. What is the GCD of 400, 994, 270?

GCD of 400, 994, 270 is 2

2. Where do I get the detailed procedure to find GCD of 400, 994, 270?

You can find a detailed procedure to find GCD of 400, 994, 270 on our page.

3. How to find GCD of 400, 994, 270 on a calculator?

You can find the GCD of 400, 994, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.