GCD of 328, 458, 146 Calculator

Given Input numbers are 328, 458, 146

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

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 458

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

1, 2, 229, 458

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 328, 458, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 458, 146 is 2.

Therefore, GCD of numbers 328, 458, 146 is 2

Given Input Data is 328, 458, 146

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

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 146 is 2 x 73

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(328, 458) = 75112

GCD(328, 458) = ( 328 x 458 ) / 75112

GCD(328, 458) = 150224 / 75112

GCD(328, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

GCD of 328, 458, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 453, 809
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• GCD of 327, 955, 330
• GCD of 192, 777, 775

1. What is the GCD of 328, 458, 146?

GCD of 328, 458, 146 is 2

2. Where do I get the detailed procedure to find GCD of 328, 458, 146?

You can find a detailed procedure to find GCD of 328, 458, 146 on our page.

3. How to find GCD of 328, 458, 146 on a calculator?

You can find the GCD of 328, 458, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.