GCD of 458, 413, 48 Calculator

Given Input numbers are 458, 413, 48

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Greatest Common Divisior

We found the divisors of 458, 413, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 413, 48 is 1.

Therefore, GCD of numbers 458, 413, 48 is 1

Given Input Data is 458, 413, 48

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 413 is 7 x 59

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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(458, 413) = 189154

GCD(458, 413) = ( 458 x 413 ) / 189154

GCD(458, 413) = 189154 / 189154

GCD(458, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

GCD of 458, 413, 48 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 265, 65
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• GCD of 202, 588, 57
• GCD of 648, 282, 90
• GCD of 344, 907, 63

1. What is the GCD of 458, 413, 48?

GCD of 458, 413, 48 is 1

2. Where do I get the detailed procedure to find GCD of 458, 413, 48?

You can find a detailed procedure to find GCD of 458, 413, 48 on our page.

3. How to find GCD of 458, 413, 48 on a calculator?

You can find the GCD of 458, 413, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.