GCD of 214, 400, 40, 992 Calculator

Given Input numbers are 214, 400, 40, 992

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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

Greatest Common Divisior

We found the divisors of 214, 400, 40, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 400, 40, 992 is 2.

Therefore, GCD of numbers 214, 400, 40, 992 is 2

Given Input Data is 214, 400, 40, 992

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

Prime Factorization of 214 is 2 x 107

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(214, 400) = 42800

GCD(214, 400) = ( 214 x 400 ) / 42800

GCD(214, 400) = 85600 / 42800

GCD(214, 400) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 992

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

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

GCD(2, 992) = 1984 / 992

GCD(2, 992) = 2

GCD of 214, 400, 40, 992 is 2

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1. What is the GCD of 214, 400, 40, 992?

GCD of 214, 400, 40, 992 is 2

2. Where do I get the detailed procedure to find GCD of 214, 400, 40, 992?

You can find a detailed procedure to find GCD of 214, 400, 40, 992 on our page.

3. How to find GCD of 214, 400, 40, 992 on a calculator?

You can find the GCD of 214, 400, 40, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.