GCD of 730, 438, 208, 281 Calculator

Given Input numbers are 730, 438, 208, 281

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

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Greatest Common Divisior

We found the divisors of 730, 438, 208, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 438, 208, 281 is 1.

Therefore, GCD of numbers 730, 438, 208, 281 is 1

Given Input Data is 730, 438, 208, 281

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 281 is 281

The above numbers do not have any common prime factor. So GCD is 1

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(730, 438) = 2190

GCD(730, 438) = ( 730 x 438 ) / 2190

GCD(730, 438) = 319740 / 2190

GCD(730, 438) = 146

Step2:

Here we consider the GCD from the above i.e. 146 as first number and the next as 208

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

LCM(146, 208) = 15184

GCD(146, 208) = ( 146 x 208 ) / 15184

GCD(146, 208) = 30368 / 15184

GCD(146, 208) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 281

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

LCM(2, 281) = 562

GCD(2, 281) = ( 2 x 281 ) / 562

GCD(2, 281) = 562 / 562

GCD(2, 281) = 1

GCD of 730, 438, 208, 281 is 1

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1. What is the GCD of 730, 438, 208, 281?

GCD of 730, 438, 208, 281 is 1

2. Where do I get the detailed procedure to find GCD of 730, 438, 208, 281?

You can find a detailed procedure to find GCD of 730, 438, 208, 281 on our page.

3. How to find GCD of 730, 438, 208, 281 on a calculator?

You can find the GCD of 730, 438, 208, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.