GCD of 456, 328, 520, 458 Calculator

Given Input numbers are 456, 328, 520, 458

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 458

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

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 456, 328, 520, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 328, 520, 458 is 2.

Therefore, GCD of numbers 456, 328, 520, 458 is 2

Given Input Data is 456, 328, 520, 458

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 458 is 2 x 229

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(456, 328) = 18696

GCD(456, 328) = ( 456 x 328 ) / 18696

GCD(456, 328) = 149568 / 18696

GCD(456, 328) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 520

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

LCM(8, 520) = 520

GCD(8, 520) = ( 8 x 520 ) / 520

GCD(8, 520) = 4160 / 520

GCD(8, 520) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 458

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

LCM(8, 458) = 1832

GCD(8, 458) = ( 8 x 458 ) / 1832

GCD(8, 458) = 3664 / 1832

GCD(8, 458) = 2

GCD of 456, 328, 520, 458 is 2

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1. What is the GCD of 456, 328, 520, 458?

GCD of 456, 328, 520, 458 is 2

2. Where do I get the detailed procedure to find GCD of 456, 328, 520, 458?

You can find a detailed procedure to find GCD of 456, 328, 520, 458 on our page.

3. How to find GCD of 456, 328, 520, 458 on a calculator?

You can find the GCD of 456, 328, 520, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.