GCD of 436, 730, 192, 398 Calculator

Given Input numbers are 436, 730, 192, 398

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 436, 730, 192, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 730, 192, 398 is 2.

Therefore, GCD of numbers 436, 730, 192, 398 is 2

Given Input Data is 436, 730, 192, 398

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 398 is 2 x 199

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(436, 730) = 159140

GCD(436, 730) = ( 436 x 730 ) / 159140

GCD(436, 730) = 318280 / 159140

GCD(436, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 192

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

LCM(2, 192) = 192

GCD(2, 192) = ( 2 x 192 ) / 192

GCD(2, 192) = 384 / 192

GCD(2, 192) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

GCD of 436, 730, 192, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 608, 951, 377
• GCD of 313, 682, 327, 397
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• GCD of 336, 355, 477, 221
• GCD of 372, 747, 979, 200

1. What is the GCD of 436, 730, 192, 398?

GCD of 436, 730, 192, 398 is 2

2. Where do I get the detailed procedure to find GCD of 436, 730, 192, 398?

You can find a detailed procedure to find GCD of 436, 730, 192, 398 on our page.

3. How to find GCD of 436, 730, 192, 398 on a calculator?

You can find the GCD of 436, 730, 192, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.