GCD of 458, 730, 328, 172 Calculator

Given Input numbers are 458, 730, 328, 172

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

Divisors of 458

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

1, 2, 229, 458

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 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 458, 730, 328, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 730, 328, 172 is 2.

Therefore, GCD of numbers 458, 730, 328, 172 is 2

Given Input Data is 458, 730, 328, 172

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 172 is 2 x 2 x 43

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(458, 730) = 167170

GCD(458, 730) = ( 458 x 730 ) / 167170

GCD(458, 730) = 334340 / 167170

GCD(458, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 328

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

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

GCD(2, 328) = 656 / 328

GCD(2, 328) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

GCD of 458, 730, 328, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 285, 157, 541
• GCD of 870, 996, 514, 934
• GCD of 426, 252, 805, 358
• GCD of 580, 864, 525, 317
• GCD of 531, 851, 505, 127

1. What is the GCD of 458, 730, 328, 172?

GCD of 458, 730, 328, 172 is 2

2. Where do I get the detailed procedure to find GCD of 458, 730, 328, 172?

You can find a detailed procedure to find GCD of 458, 730, 328, 172 on our page.

3. How to find GCD of 458, 730, 328, 172 on a calculator?

You can find the GCD of 458, 730, 328, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.