GCD of 225, 458, 30, 336 Calculator

Given Input numbers are 225, 458, 30, 336

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 225, 458, 30, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 458, 30, 336 is 1.

Therefore, GCD of numbers 225, 458, 30, 336 is 1

Given Input Data is 225, 458, 30, 336

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 458 is 2 x 229

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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(225, 458) = 103050

GCD(225, 458) = ( 225 x 458 ) / 103050

GCD(225, 458) = 103050 / 103050

GCD(225, 458) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 336

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

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

GCD(1, 336) = 336 / 336

GCD(1, 336) = 1

GCD of 225, 458, 30, 336 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 112, 44, 505
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• GCD of 222, 939, 86, 545
• GCD of 240, 601, 80, 645
• GCD of 964, 342, 64, 244

1. What is the GCD of 225, 458, 30, 336?

GCD of 225, 458, 30, 336 is 1

2. Where do I get the detailed procedure to find GCD of 225, 458, 30, 336?

You can find a detailed procedure to find GCD of 225, 458, 30, 336 on our page.

3. How to find GCD of 225, 458, 30, 336 on a calculator?

You can find the GCD of 225, 458, 30, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.