GCD of 432, 202, 374, 394 Calculator

Given Input numbers are 432, 202, 374, 394

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 432, 202, 374, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 202, 374, 394 is 2.

Therefore, GCD of numbers 432, 202, 374, 394 is 2

Given Input Data is 432, 202, 374, 394

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 202 is 2 x 101

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 394 is 2 x 197

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(432, 202) = 43632

GCD(432, 202) = ( 432 x 202 ) / 43632

GCD(432, 202) = 87264 / 43632

GCD(432, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 394

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

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

GCD(2, 394) = 788 / 394

GCD(2, 394) = 2

GCD of 432, 202, 374, 394 is 2

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1. What is the GCD of 432, 202, 374, 394?

GCD of 432, 202, 374, 394 is 2

2. Where do I get the detailed procedure to find GCD of 432, 202, 374, 394?

You can find a detailed procedure to find GCD of 432, 202, 374, 394 on our page.

3. How to find GCD of 432, 202, 374, 394 on a calculator?

You can find the GCD of 432, 202, 374, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.