GCD of 324, 446, 40, 214 Calculator

Given Input numbers are 324, 446, 40, 214

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

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 214

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

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 324, 446, 40, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 446, 40, 214 is 2.

Therefore, GCD of numbers 324, 446, 40, 214 is 2

Given Input Data is 324, 446, 40, 214

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 446 is 2 x 223

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

Prime Factorization of 214 is 2 x 107

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(324, 446) = 72252

GCD(324, 446) = ( 324 x 446 ) / 72252

GCD(324, 446) = 144504 / 72252

GCD(324, 446) = 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 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 2

GCD of 324, 446, 40, 214 is 2

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• GCD of 359, 352, 56, 236
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• GCD of 818, 909, 17, 274

1. What is the GCD of 324, 446, 40, 214?

GCD of 324, 446, 40, 214 is 2

2. Where do I get the detailed procedure to find GCD of 324, 446, 40, 214?

You can find a detailed procedure to find GCD of 324, 446, 40, 214 on our page.

3. How to find GCD of 324, 446, 40, 214 on a calculator?

You can find the GCD of 324, 446, 40, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.